-6m+54-9(m-1)=4m-(3m-1)-2m+6

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Solution for -6m+54-9(m-1)=4m-(3m-1)-2m+6 equation:


Simplifying
-6m + 54 + -9(m + -1) = 4m + -1(3m + -1) + -2m + 6

Reorder the terms:
-6m + 54 + -9(-1 + m) = 4m + -1(3m + -1) + -2m + 6
-6m + 54 + (-1 * -9 + m * -9) = 4m + -1(3m + -1) + -2m + 6
-6m + 54 + (9 + -9m) = 4m + -1(3m + -1) + -2m + 6

Reorder the terms:
54 + 9 + -6m + -9m = 4m + -1(3m + -1) + -2m + 6

Combine like terms: 54 + 9 = 63
63 + -6m + -9m = 4m + -1(3m + -1) + -2m + 6

Combine like terms: -6m + -9m = -15m
63 + -15m = 4m + -1(3m + -1) + -2m + 6

Reorder the terms:
63 + -15m = 4m + -1(-1 + 3m) + -2m + 6
63 + -15m = 4m + (-1 * -1 + 3m * -1) + -2m + 6
63 + -15m = 4m + (1 + -3m) + -2m + 6

Reorder the terms:
63 + -15m = 1 + 6 + 4m + -3m + -2m

Combine like terms: 1 + 6 = 7
63 + -15m = 7 + 4m + -3m + -2m

Combine like terms: 4m + -3m = 1m
63 + -15m = 7 + 1m + -2m

Combine like terms: 1m + -2m = -1m
63 + -15m = 7 + -1m

Solving
63 + -15m = 7 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
63 + -15m + m = 7 + -1m + m

Combine like terms: -15m + m = -14m
63 + -14m = 7 + -1m + m

Combine like terms: -1m + m = 0
63 + -14m = 7 + 0
63 + -14m = 7

Add '-63' to each side of the equation.
63 + -63 + -14m = 7 + -63

Combine like terms: 63 + -63 = 0
0 + -14m = 7 + -63
-14m = 7 + -63

Combine like terms: 7 + -63 = -56
-14m = -56

Divide each side by '-14'.
m = 4

Simplifying
m = 4

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