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mixas84 [53]
3 years ago
14

2-(4p+3)=-3(p+2)-(2p+3)

Mathematics
2 answers:
statuscvo [17]3 years ago
8 0
Ultimately, you want the <em>variable</em> p on one side of the equals sign, and the <em>value</em> of p on the other.

First, get rid of the parenthesis by <em>distributing.

</em>There is an invisible -1 in front of the first and last set of parenthesis, and a one times any number is the number itself, so you are essentially distributing the negative sign. 
<em>
</em>So you have:     2-4p-3 = -3p-6-2p-3
<em>
</em>Next, <em>Combine like terms.
</em>
Can you take it from there?<em>

</em>
solmaris [256]3 years ago
8 0
Simplifying
2 + -1(4p + 3) = -3(p + 2) + -1(2p + 3)

Reorder the terms:
2 + -1(3 + 4p) = -3(p + 2) + -1(2p + 3)
2 + (3 * -1 + 4p * -1) = -3(p + 2) + -1(2p + 3)
2 + (-3 + -4p) = -3(p + 2) + -1(2p + 3)

Combine like terms: 2 + -3 = -1
-1 + -4p = -3(p + 2) + -1(2p + 3)

Reorder the terms:
-1 + -4p = -3(2 + p) + -1(2p + 3)
-1 + -4p = (2 * -3 + p * -3) + -1(2p + 3)
-1 + -4p = (-6 + -3p) + -1(2p + 3)

Reorder the terms:
-1 + -4p = -6 + -3p + -1(3 + 2p)
-1 + -4p = -6 + -3p + (3 * -1 + 2p * -1)
-1 + -4p = -6 + -3p + (-3 + -2p)

Reorder the terms:
-1 + -4p = -6 + -3 + -3p + -2p

Combine like terms: -6 + -3 = -9
-1 + -4p = -9 + -3p + -2p

Combine like terms: -3p + -2p = -5p
-1 + -4p = -9 + -5p

Solving
-1 + -4p = -9 + -5p

Move all terms containing p to the left, all other terms to the right.

Add '5p' to each side of the equation.
-1 + -4p + 5p = -9 + -5p + 5p

Combine like terms: -4p + 5p = 1p
-1 + 1p = -9 + -5p + 5p

Combine like terms: -5p + 5p = 0
-1 + 1p = -9 + 0
-1 + 1p = -9

Add '1' to each side of the equation.
-1 + 1 + 1p = -9 + 1

Combine like terms: -1 + 1 = 0
0 + 1p = -9 + 1
1p = -9 + 1

Combine like terms: -9 + 1 = -8
1p = -8

Divide each side by '1'.
p = -8

Simplifying
p = -8
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Margie has 5 times as many nickels as quarters. She has a total of $2.00.
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Answer:

<u>Part A: </u>

<u>n = 5q (1st equation)</u>

<u>0.05n + 0.25q = 2 (2nd equation)</u>

<u>Part B:</u>

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<u>Part C:</u>

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