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

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


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

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

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

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

Combine like terms: 18m + -12m = 6m
-47 + 6m = -3

Solving
-47 + 6m = -3

Solving for variable 'm'.

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

Add '47' to each side of the equation.
-47 + 47 + 6m = -3 + 47

Combine like terms: -47 + 47 = 0
0 + 6m = -3 + 47
6m = -3 + 47

Combine like terms: -3 + 47 = 44
6m = 44

Divide each side by '6'.
m = 7.333333333

Simplifying
m = 7.333333333

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