7m-4=9(3m+4)

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Solution for 7m-4=9(3m+4) equation:


Simplifying
7m + -4 = 9(3m + 4)

Reorder the terms:
-4 + 7m = 9(3m + 4)

Reorder the terms:
-4 + 7m = 9(4 + 3m)
-4 + 7m = (4 * 9 + 3m * 9)
-4 + 7m = (36 + 27m)

Solving
-4 + 7m = 36 + 27m

Solving for variable 'm'.

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

Add '-27m' to each side of the equation.
-4 + 7m + -27m = 36 + 27m + -27m

Combine like terms: 7m + -27m = -20m
-4 + -20m = 36 + 27m + -27m

Combine like terms: 27m + -27m = 0
-4 + -20m = 36 + 0
-4 + -20m = 36

Add '4' to each side of the equation.
-4 + 4 + -20m = 36 + 4

Combine like terms: -4 + 4 = 0
0 + -20m = 36 + 4
-20m = 36 + 4

Combine like terms: 36 + 4 = 40
-20m = 40

Divide each side by '-20'.
m = -2

Simplifying
m = -2

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