-10(m+2)+3(3m+11)=3+5m-2

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Solution for -10(m+2)+3(3m+11)=3+5m-2 equation:


Simplifying
-10(m + 2) + 3(3m + 11) = 3 + 5m + -2

Reorder the terms:
-10(2 + m) + 3(3m + 11) = 3 + 5m + -2
(2 * -10 + m * -10) + 3(3m + 11) = 3 + 5m + -2
(-20 + -10m) + 3(3m + 11) = 3 + 5m + -2

Reorder the terms:
-20 + -10m + 3(11 + 3m) = 3 + 5m + -2
-20 + -10m + (11 * 3 + 3m * 3) = 3 + 5m + -2
-20 + -10m + (33 + 9m) = 3 + 5m + -2

Reorder the terms:
-20 + 33 + -10m + 9m = 3 + 5m + -2

Combine like terms: -20 + 33 = 13
13 + -10m + 9m = 3 + 5m + -2

Combine like terms: -10m + 9m = -1m
13 + -1m = 3 + 5m + -2

Reorder the terms:
13 + -1m = 3 + -2 + 5m

Combine like terms: 3 + -2 = 1
13 + -1m = 1 + 5m

Solving
13 + -1m = 1 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
13 + -1m + -5m = 1 + 5m + -5m

Combine like terms: -1m + -5m = -6m
13 + -6m = 1 + 5m + -5m

Combine like terms: 5m + -5m = 0
13 + -6m = 1 + 0
13 + -6m = 1

Add '-13' to each side of the equation.
13 + -13 + -6m = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -6m = 1 + -13
-6m = 1 + -13

Combine like terms: 1 + -13 = -12
-6m = -12

Divide each side by '-6'.
m = 2

Simplifying
m = 2

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