(5m-4)-(9m-3)=15

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Solution for (5m-4)-(9m-3)=15 equation:


Simplifying
(5m + -4) + -1(9m + -3) = 15

Reorder the terms:
(-4 + 5m) + -1(9m + -3) = 15

Remove parenthesis around (-4 + 5m)
-4 + 5m + -1(9m + -3) = 15

Reorder the terms:
-4 + 5m + -1(-3 + 9m) = 15
-4 + 5m + (-3 * -1 + 9m * -1) = 15
-4 + 5m + (3 + -9m) = 15

Reorder the terms:
-4 + 3 + 5m + -9m = 15

Combine like terms: -4 + 3 = -1
-1 + 5m + -9m = 15

Combine like terms: 5m + -9m = -4m
-1 + -4m = 15

Solving
-1 + -4m = 15

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + -4m = 15 + 1

Combine like terms: -1 + 1 = 0
0 + -4m = 15 + 1
-4m = 15 + 1

Combine like terms: 15 + 1 = 16
-4m = 16

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

Simplifying
m = -4

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