-9m+21-8(m-2)=4m-(8m-3)-6m+6

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Solution for -9m+21-8(m-2)=4m-(8m-3)-6m+6 equation: 


Simplifying
-9m + 21 + -8(m + -2) = 4m + -1(8m + -3) + -6m + 6

Reorder the terms:
-9m + 21 + -8(-2 + m) = 4m + -1(8m + -3) + -6m + 6
-9m + 21 + (-2 * -8 + m * -8) = 4m + -1(8m + -3) + -6m + 6
-9m + 21 + (16 + -8m) = 4m + -1(8m + -3) + -6m + 6

Reorder the terms:
21 + 16 + -9m + -8m = 4m + -1(8m + -3) + -6m + 6

Combine like terms: 21 + 16 = 37
37 + -9m + -8m = 4m + -1(8m + -3) + -6m + 6

Combine like terms: -9m + -8m = -17m
37 + -17m = 4m + -1(8m + -3) + -6m + 6

Reorder the terms:
37 + -17m = 4m + -1(-3 + 8m) + -6m + 6
37 + -17m = 4m + (-3 * -1 + 8m * -1) + -6m + 6
37 + -17m = 4m + (3 + -8m) + -6m + 6

Reorder the terms:
37 + -17m = 3 + 6 + 4m + -8m + -6m

Combine like terms: 3 + 6 = 9
37 + -17m = 9 + 4m + -8m + -6m

Combine like terms: 4m + -8m = -4m
37 + -17m = 9 + -4m + -6m

Combine like terms: -4m + -6m = -10m
37 + -17m = 9 + -10m

Solving
37 + -17m = 9 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
37 + -17m + 10m = 9 + -10m + 10m

Combine like terms: -17m + 10m = -7m
37 + -7m = 9 + -10m + 10m

Combine like terms: -10m + 10m = 0
37 + -7m = 9 + 0
37 + -7m = 9

Add '-37' to each side of the equation.
37 + -37 + -7m = 9 + -37

Combine like terms: 37 + -37 = 0
0 + -7m = 9 + -37
-7m = 9 + -37

Combine like terms: 9 + -37 = -28
-7m = -28

Divide each side by '-7'.
m = 4

Simplifying
m = 4

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