-3m-33-9(m-6)=4m-(5m-4)-9m+3

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Solution for -3m-33-9(m-6)=4m-(5m-4)-9m+3 equation:


Simplifying
-3m + -33 + -9(m + -6) = 4m + -1(5m + -4) + -9m + 3

Reorder the terms:
-3m + -33 + -9(-6 + m) = 4m + -1(5m + -4) + -9m + 3
-3m + -33 + (-6 * -9 + m * -9) = 4m + -1(5m + -4) + -9m + 3
-3m + -33 + (54 + -9m) = 4m + -1(5m + -4) + -9m + 3

Reorder the terms:
-33 + 54 + -3m + -9m = 4m + -1(5m + -4) + -9m + 3

Combine like terms: -33 + 54 = 21
21 + -3m + -9m = 4m + -1(5m + -4) + -9m + 3

Combine like terms: -3m + -9m = -12m
21 + -12m = 4m + -1(5m + -4) + -9m + 3

Reorder the terms:
21 + -12m = 4m + -1(-4 + 5m) + -9m + 3
21 + -12m = 4m + (-4 * -1 + 5m * -1) + -9m + 3
21 + -12m = 4m + (4 + -5m) + -9m + 3

Reorder the terms:
21 + -12m = 4 + 3 + 4m + -5m + -9m

Combine like terms: 4 + 3 = 7
21 + -12m = 7 + 4m + -5m + -9m

Combine like terms: 4m + -5m = -1m
21 + -12m = 7 + -1m + -9m

Combine like terms: -1m + -9m = -10m
21 + -12m = 7 + -10m

Solving
21 + -12m = 7 + -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.
21 + -12m + 10m = 7 + -10m + 10m

Combine like terms: -12m + 10m = -2m
21 + -2m = 7 + -10m + 10m

Combine like terms: -10m + 10m = 0
21 + -2m = 7 + 0
21 + -2m = 7

Add '-21' to each side of the equation.
21 + -21 + -2m = 7 + -21

Combine like terms: 21 + -21 = 0
0 + -2m = 7 + -21
-2m = 7 + -21

Combine like terms: 7 + -21 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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