7(2m+9)-11m=9+16+m

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Solution for 7(2m+9)-11m=9+16+m equation:


Simplifying
7(2m + 9) + -11m = 9 + 16 + m

Reorder the terms:
7(9 + 2m) + -11m = 9 + 16 + m
(9 * 7 + 2m * 7) + -11m = 9 + 16 + m
(63 + 14m) + -11m = 9 + 16 + m

Combine like terms: 14m + -11m = 3m
63 + 3m = 9 + 16 + m

Combine like terms: 9 + 16 = 25
63 + 3m = 25 + m

Solving
63 + 3m = 25 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
63 + 3m + -1m = 25 + m + -1m

Combine like terms: 3m + -1m = 2m
63 + 2m = 25 + m + -1m

Combine like terms: m + -1m = 0
63 + 2m = 25 + 0
63 + 2m = 25

Add '-63' to each side of the equation.
63 + -63 + 2m = 25 + -63

Combine like terms: 63 + -63 = 0
0 + 2m = 25 + -63
2m = 25 + -63

Combine like terms: 25 + -63 = -38
2m = -38

Divide each side by '2'.
m = -19

Simplifying
m = -19

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