7(m+5)=9(m+3)

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Solution for 7(m+5)=9(m+3) equation:


Simplifying
7(m + 5) = 9(m + 3)

Reorder the terms:
7(5 + m) = 9(m + 3)
(5 * 7 + m * 7) = 9(m + 3)
(35 + 7m) = 9(m + 3)

Reorder the terms:
35 + 7m = 9(3 + m)
35 + 7m = (3 * 9 + m * 9)
35 + 7m = (27 + 9m)

Solving
35 + 7m = 27 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
35 + 7m + -9m = 27 + 9m + -9m

Combine like terms: 7m + -9m = -2m
35 + -2m = 27 + 9m + -9m

Combine like terms: 9m + -9m = 0
35 + -2m = 27 + 0
35 + -2m = 27

Add '-35' to each side of the equation.
35 + -35 + -2m = 27 + -35

Combine like terms: 35 + -35 = 0
0 + -2m = 27 + -35
-2m = 27 + -35

Combine like terms: 27 + -35 = -8
-2m = -8

Divide each side by '-2'.
m = 4

Simplifying
m = 4

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