-4(-7+m)+3=4(m-3)+11

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Solution for -4(-7+m)+3=4(m-3)+11 equation: 


Simplifying
-4(-7 + m) + 3 = 4(m + -3) + 11
(-7 * -4 + m * -4) + 3 = 4(m + -3) + 11
(28 + -4m) + 3 = 4(m + -3) + 11

Reorder the terms:
28 + 3 + -4m = 4(m + -3) + 11

Combine like terms: 28 + 3 = 31
31 + -4m = 4(m + -3) + 11

Reorder the terms:
31 + -4m = 4(-3 + m) + 11
31 + -4m = (-3 * 4 + m * 4) + 11
31 + -4m = (-12 + 4m) + 11

Reorder the terms:
31 + -4m = -12 + 11 + 4m

Combine like terms: -12 + 11 = -1
31 + -4m = -1 + 4m

Solving
31 + -4m = -1 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
31 + -4m + -4m = -1 + 4m + -4m

Combine like terms: -4m + -4m = -8m
31 + -8m = -1 + 4m + -4m

Combine like terms: 4m + -4m = 0
31 + -8m = -1 + 0
31 + -8m = -1

Add '-31' to each side of the equation.
31 + -31 + -8m = -1 + -31

Combine like terms: 31 + -31 = 0
0 + -8m = -1 + -31
-8m = -1 + -31

Combine like terms: -1 + -31 = -32
-8m = -32

Divide each side by '-8'.
m = 4

Simplifying
m = 4

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