9(m+2)=6(m+7)

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Solution for 9(m+2)=6(m+7) equation:


Simplifying
9(m + 2) = 6(m + 7)

Reorder the terms:
9(2 + m) = 6(m + 7)
(2 * 9 + m * 9) = 6(m + 7)
(18 + 9m) = 6(m + 7)

Reorder the terms:
18 + 9m = 6(7 + m)
18 + 9m = (7 * 6 + m * 6)
18 + 9m = (42 + 6m)

Solving
18 + 9m = 42 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
18 + 9m + -6m = 42 + 6m + -6m

Combine like terms: 9m + -6m = 3m
18 + 3m = 42 + 6m + -6m

Combine like terms: 6m + -6m = 0
18 + 3m = 42 + 0
18 + 3m = 42

Add '-18' to each side of the equation.
18 + -18 + 3m = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 3m = 42 + -18
3m = 42 + -18

Combine like terms: 42 + -18 = 24
3m = 24

Divide each side by '3'.
m = 8

Simplifying
m = 8

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