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amm1812
3 years ago
11

Solve 3c + 4 = -4c - 17 A. 3 B. -3 C. 21 D. -21

Mathematics
1 answer:
artcher [175]3 years ago
8 0
3c + 4 = -4c - 17

3c = -4c - 17 - 4           Subtracted 4 from both sides

3c + 4c = -21               Added 4c to both sides. (-17 - 4 = -21)

7c = -21                       Combined like terms (4c + 3c = 7c)

c = -3                            Divided 7 both sides
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Please help with step one and two.​
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Please keep in mind that the answers may not be correct. I have tried my best to answer.

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what is the difference between the commutative distributive and associative properties when multiplying?
Fantom [35]
<span>The associative rule is a rule about when it's safe to move parentheses around. You can remember that because the parentheses determine which expressions you have to do first--which numbers can associate with each other. It looks like this:

For addition: (a + b) + c = a + (b + c)
For multiplication: (ab)c = a(bc)

The commutative property is about which operations you can do backward and forward. You can remember this by thinking of people commuting to work: they go to work every morning, then they repeat the same operation backward when they commute home. It looks like this:

For addition: a + b = b + a
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Finally, the distributive property tells you what happens when you distribute one operation against another kind in parentheses. It looks like this:

a * (b + c) = ab + ac

In other words, the a is "distributed" over the b and c.

Of course, you can make these work together:

a * (b + (c + d))
= a * ((b + c) + d) (by the associative property)
= a * (d + (b + c)) (by the commutative property)
= ad + a (b + c) (by the distributive property)
= ad + ab + ac (by the distributive property again).

Hope this helps. </span>
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