-3(m+1)-2(m-3)+5(2m+1)=0

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Solution for -3(m+1)-2(m-3)+5(2m+1)=0 equation:


Simplifying
-3(m + 1) + -2(m + -3) + 5(2m + 1) = 0

Reorder the terms:
-3(1 + m) + -2(m + -3) + 5(2m + 1) = 0
(1 * -3 + m * -3) + -2(m + -3) + 5(2m + 1) = 0
(-3 + -3m) + -2(m + -3) + 5(2m + 1) = 0

Reorder the terms:
-3 + -3m + -2(-3 + m) + 5(2m + 1) = 0
-3 + -3m + (-3 * -2 + m * -2) + 5(2m + 1) = 0
-3 + -3m + (6 + -2m) + 5(2m + 1) = 0

Reorder the terms:
-3 + -3m + 6 + -2m + 5(1 + 2m) = 0
-3 + -3m + 6 + -2m + (1 * 5 + 2m * 5) = 0
-3 + -3m + 6 + -2m + (5 + 10m) = 0

Reorder the terms:
-3 + 6 + 5 + -3m + -2m + 10m = 0

Combine like terms: -3 + 6 = 3
3 + 5 + -3m + -2m + 10m = 0

Combine like terms: 3 + 5 = 8
8 + -3m + -2m + 10m = 0

Combine like terms: -3m + -2m = -5m
8 + -5m + 10m = 0

Combine like terms: -5m + 10m = 5m
8 + 5m = 0

Solving
8 + 5m = 0

Solving for variable 'm'.

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

Add '-8' to each side of the equation.
8 + -8 + 5m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5m = 0 + -8
5m = 0 + -8

Combine like terms: 0 + -8 = -8
5m = -8

Divide each side by '5'.
m = -1.6

Simplifying
m = -1.6

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