4(m+6)-(m+20)+6=31

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Solution for 4(m+6)-(m+20)+6=31 equation: 


Simplifying
4(m + 6) + -1(m + 20) + 6 = 31

Reorder the terms:
4(6 + m) + -1(m + 20) + 6 = 31
(6 * 4 + m * 4) + -1(m + 20) + 6 = 31
(24 + 4m) + -1(m + 20) + 6 = 31

Reorder the terms:
24 + 4m + -1(20 + m) + 6 = 31
24 + 4m + (20 * -1 + m * -1) + 6 = 31
24 + 4m + (-20 + -1m) + 6 = 31

Reorder the terms:
24 + -20 + 6 + 4m + -1m = 31

Combine like terms: 24 + -20 = 4
4 + 6 + 4m + -1m = 31

Combine like terms: 4 + 6 = 10
10 + 4m + -1m = 31

Combine like terms: 4m + -1m = 3m
10 + 3m = 31

Solving
10 + 3m = 31

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 3m = 31 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = 31 + -10
3m = 31 + -10

Combine like terms: 31 + -10 = 21
3m = 21

Divide each side by '3'.
m = 7

Simplifying
m = 7

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