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Butoxors [25]
3 years ago
10

What is the answer to (6d+5)-(2-3d ) with work shown

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

9d+3

Step-by-step explanation:

(6D+5)-(2-3D);next step I disributed the negative sign into parenthesis wil resulted in no paranthesis.

6d+5-2+3d

9d+3

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Elementary Algebra Skill
mr_godi [17]

The answer is a = \frac{4}{-3}

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2\frac{2}{3} will be \frac{8}{3}

<em>2. Now the equation is,</em>

\frac{3}{2} a - \frac{4}{3} a = \frac{10}{3} + \frac{8}{3} a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by \frac{3}{3} and multiply the second fraction by \frac{2}{2}

\frac{3*3}{2*3} a - \frac{4*3}{3*3} a = \frac{10+8a}{3}

<em>4. Solve by making a the subject</em>

\frac{9a-8a}{6} = \frac{10+8a}{3}

\frac{a}{6} = \frac{10+8a}{3}

\frac{3a}{6} =10+8a

\frac{a}{2} = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = \frac{20}{-15}

a = \frac{4}{-3}

Therefore, the answer is a = \frac{4}{-3}

Keyword: Equations

Learn more about equations at

  • brainly.com/question/10666510
  • brainly.com/question/4460262
  • brainly.com/question/8955867

#LearnwithBrainly

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Explanation: “The distributive property is where a number or value is distributed into a whole equation. Based on the work below as you can see I “distributed” 5 to (3m+4n) meaning I multiplied 5&3m and 5&4n, when I multiply 5&3 that give me 15, and when I multiply 5&4 that gives me 20. So when finally simplified my new equation is 15m+20n”

Make sure when you is the distributive property that you always add the variables because it will be wrong.

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