8(m+3)+9(m+2)=m-6

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Solution for 8(m+3)+9(m+2)=m-6 equation:


Simplifying
8(m + 3) + 9(m + 2) = m + -6

Reorder the terms:
8(3 + m) + 9(m + 2) = m + -6
(3 * 8 + m * 8) + 9(m + 2) = m + -6
(24 + 8m) + 9(m + 2) = m + -6

Reorder the terms:
24 + 8m + 9(2 + m) = m + -6
24 + 8m + (2 * 9 + m * 9) = m + -6
24 + 8m + (18 + 9m) = m + -6

Reorder the terms:
24 + 18 + 8m + 9m = m + -6

Combine like terms: 24 + 18 = 42
42 + 8m + 9m = m + -6

Combine like terms: 8m + 9m = 17m
42 + 17m = m + -6

Reorder the terms:
42 + 17m = -6 + m

Solving
42 + 17m = -6 + 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.
42 + 17m + -1m = -6 + m + -1m

Combine like terms: 17m + -1m = 16m
42 + 16m = -6 + m + -1m

Combine like terms: m + -1m = 0
42 + 16m = -6 + 0
42 + 16m = -6

Add '-42' to each side of the equation.
42 + -42 + 16m = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 16m = -6 + -42
16m = -6 + -42

Combine like terms: -6 + -42 = -48
16m = -48

Divide each side by '16'.
m = -3

Simplifying
m = -3

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