-3m+16-6(m-1)=6m-(4m-5)-7m+9

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Solution for -3m+16-6(m-1)=6m-(4m-5)-7m+9 equation:


Simplifying
-3m + 16 + -6(m + -1) = 6m + -1(4m + -5) + -7m + 9

Reorder the terms:
-3m + 16 + -6(-1 + m) = 6m + -1(4m + -5) + -7m + 9
-3m + 16 + (-1 * -6 + m * -6) = 6m + -1(4m + -5) + -7m + 9
-3m + 16 + (6 + -6m) = 6m + -1(4m + -5) + -7m + 9

Reorder the terms:
16 + 6 + -3m + -6m = 6m + -1(4m + -5) + -7m + 9

Combine like terms: 16 + 6 = 22
22 + -3m + -6m = 6m + -1(4m + -5) + -7m + 9

Combine like terms: -3m + -6m = -9m
22 + -9m = 6m + -1(4m + -5) + -7m + 9

Reorder the terms:
22 + -9m = 6m + -1(-5 + 4m) + -7m + 9
22 + -9m = 6m + (-5 * -1 + 4m * -1) + -7m + 9
22 + -9m = 6m + (5 + -4m) + -7m + 9

Reorder the terms:
22 + -9m = 5 + 9 + 6m + -4m + -7m

Combine like terms: 5 + 9 = 14
22 + -9m = 14 + 6m + -4m + -7m

Combine like terms: 6m + -4m = 2m
22 + -9m = 14 + 2m + -7m

Combine like terms: 2m + -7m = -5m
22 + -9m = 14 + -5m

Solving
22 + -9m = 14 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
22 + -9m + 5m = 14 + -5m + 5m

Combine like terms: -9m + 5m = -4m
22 + -4m = 14 + -5m + 5m

Combine like terms: -5m + 5m = 0
22 + -4m = 14 + 0
22 + -4m = 14

Add '-22' to each side of the equation.
22 + -22 + -4m = 14 + -22

Combine like terms: 22 + -22 = 0
0 + -4m = 14 + -22
-4m = 14 + -22

Combine like terms: 14 + -22 = -8
-4m = -8

Divide each side by '-4'.
m = 2

Simplifying
m = 2

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