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

May 1, 2018

$m$ = $0$

#### Explanation:

$8 \left(1 + 7 m\right) + 6 = 14$

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

$8 + 56 m + 6 = 14$

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

$14 + 56 m = 14$

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

$56 m + 14 = 14$

Subtract accordingly.

$56 m = 0$

$m = 0$

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

May 1, 2018

$m = 0$

#### Explanation:

$8 \left(1 + 7 m\right) + 6 = 14$

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

$8 + 56 m + 6 = 14$

Add the left side numbers without $m$.

$56 m + 14 = 14$

Subtract both sides by $14$.

$56 m + 14 - 14 = 14 - 14$

$56 m = 0$

Divide both sides by $56$.

$\frac{56 m}{56} = \frac{0}{56}$

$m = 0$