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30 votes
30 votes
7(-9a-3)-2a7(−9a−3)−2a

User Ganesh Kalje
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1 Answer

14 votes
14 votes

Hello!

To solve this, you need to distribute and combine like terms.

Like terms are equivalent types of numbers for example;

2x and 3x are like terms, so if the equation said 2x - 5 + 3x, you would only combine 2x and 3x.

If the equation said 5 + 9 - x, you add the like terms, 5 + 9, and the simplification would be 14 - x.

Distribution is when you multiply the number outside the parenthesis into the parenthesis. for example, if an equation says, 5(x-2) = y, you would multiply 5 on the numbers x and -2, resulting in the equation, 5x - 10 = y.

--------Now lets work on your math problem.

Step 1, right the equation, 7(-9a-3)-2a7(−9a−3)−2a

Step 2: distribute numbers (remember multiplying)

7(-9a-3)-2a7(−9a−3)−2a

For the first distribution, 7(-9a-3)-2a7(−9a−3)−2a

you multiply 7 to the numbers in the parenthesis,

resulting in,

-63a - 21

Second distribution is, 7(-9a-3)-2a + 7(−9a−3)−2a

in which you multiply -7 into the numbers in the parenthesis resulting in;

-63a - 21

(did you type the equation twice if so, there are now two problems i need to solve.)

now add like terms -2a + -2a = -4a

-63a - 21 + -63a - 21 = -126a - 42

-126a - 4a - 42

Answer is -130a - 42.

If your equation was actually this, : 7(-9a-3)-2a

Then the answer would have been, -65a - 21

User Fnune
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3.2k points