9(2m-3)-4(5+3m)-5(4+m)=-3

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Solution for 9(2m-3)-4(5+3m)-5(4+m)=-3 equation:


Simplifying
9(2m + -3) + -4(5 + 3m) + -5(4 + m) = -3

Reorder the terms:
9(-3 + 2m) + -4(5 + 3m) + -5(4 + m) = -3
(-3 * 9 + 2m * 9) + -4(5 + 3m) + -5(4 + m) = -3
(-27 + 18m) + -4(5 + 3m) + -5(4 + m) = -3
-27 + 18m + (5 * -4 + 3m * -4) + -5(4 + m) = -3
-27 + 18m + (-20 + -12m) + -5(4 + m) = -3
-27 + 18m + -20 + -12m + (4 * -5 + m * -5) = -3
-27 + 18m + -20 + -12m + (-20 + -5m) = -3

Reorder the terms:
-27 + -20 + -20 + 18m + -12m + -5m = -3

Combine like terms: -27 + -20 = -47
-47 + -20 + 18m + -12m + -5m = -3

Combine like terms: -47 + -20 = -67
-67 + 18m + -12m + -5m = -3

Combine like terms: 18m + -12m = 6m
-67 + 6m + -5m = -3

Combine like terms: 6m + -5m = 1m
-67 + 1m = -3

Solving
-67 + 1m = -3

Solving for variable 'm'.

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

Add '67' to each side of the equation.
-67 + 67 + 1m = -3 + 67

Combine like terms: -67 + 67 = 0
0 + 1m = -3 + 67
1m = -3 + 67

Combine like terms: -3 + 67 = 64
1m = 64

Divide each side by '1'.
m = 64

Simplifying
m = 64

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