-9m+45-6(m-3)=6m-(4m-3)-3m+4

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Solution for -9m+45-6(m-3)=6m-(4m-3)-3m+4 equation: 


Simplifying
-9m + 45 + -6(m + -3) = 6m + -1(4m + -3) + -3m + 4

Reorder the terms:
-9m + 45 + -6(-3 + m) = 6m + -1(4m + -3) + -3m + 4
-9m + 45 + (-3 * -6 + m * -6) = 6m + -1(4m + -3) + -3m + 4
-9m + 45 + (18 + -6m) = 6m + -1(4m + -3) + -3m + 4

Reorder the terms:
45 + 18 + -9m + -6m = 6m + -1(4m + -3) + -3m + 4

Combine like terms: 45 + 18 = 63
63 + -9m + -6m = 6m + -1(4m + -3) + -3m + 4

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

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

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

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

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

Combine like terms: 2m + -3m = -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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