3(m-8)-5=9(m+2)+1

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Solution for 3(m-8)-5=9(m+2)+1 equation: 


Simplifying
3(m + -8) + -5 = 9(m + 2) + 1

Reorder the terms:
3(-8 + m) + -5 = 9(m + 2) + 1
(-8 * 3 + m * 3) + -5 = 9(m + 2) + 1
(-24 + 3m) + -5 = 9(m + 2) + 1

Reorder the terms:
-24 + -5 + 3m = 9(m + 2) + 1

Combine like terms: -24 + -5 = -29
-29 + 3m = 9(m + 2) + 1

Reorder the terms:
-29 + 3m = 9(2 + m) + 1
-29 + 3m = (2 * 9 + m * 9) + 1
-29 + 3m = (18 + 9m) + 1

Reorder the terms:
-29 + 3m = 18 + 1 + 9m

Combine like terms: 18 + 1 = 19
-29 + 3m = 19 + 9m

Solving
-29 + 3m = 19 + 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.
-29 + 3m + -9m = 19 + 9m + -9m

Combine like terms: 3m + -9m = -6m
-29 + -6m = 19 + 9m + -9m

Combine like terms: 9m + -9m = 0
-29 + -6m = 19 + 0
-29 + -6m = 19

Add '29' to each side of the equation.
-29 + 29 + -6m = 19 + 29

Combine like terms: -29 + 29 = 0
0 + -6m = 19 + 29
-6m = 19 + 29

Combine like terms: 19 + 29 = 48
-6m = 48

Divide each side by '-6'.
m = -8

Simplifying
m = -8

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