Question

How do you solve `8(1+7m)+6=14`?

Answer 1

`m` = `0`

Explanation:

`8(1 + 7m) + 6 = 14`

First, distribute `8` to `(1 + 7m)`, per the distributive property. (Multiply 1 by 8 and 7m by 8). You should now have:

`8 + 56m + 6 = 14`

Combine like terms (8 and 6), and you should now have:

`14 + 56m = 14`

Re-order the terms where `56m` is first to help reduce confusion:

`56m + 14 = 14`

Subtract accordingly.

`56m = 0`

`m = 0`

Sources and for clarification:
https://www.symbolab.com/solver/equation-calculator/8%5Cleft(1%2B7m%5Cright)%2B6%20%3D%2014
https://www.wyzant.com/resources/lessons/math/algebra/calculators/equation?equation=8(1+%2B+7m)+%2B+6+%3D+14

Answer 2

`m = 0`

Explanation:

`8(1 + 7m) + 6 = 14`

Distribute the `8` by multiplying it into the parentheses.

`8 + 56m + 6 = 14`

Add the left side numbers without `m`.

`56m + 14 = 14`

Subtract both sides by `14`.

`56m + 14 - 14 = 14 - 14`

`56m = 0`

Divide both sides by `56`.

`(56m)/56 = 0/56`

`m = 0`