5m-2(3m+1)=m-10

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Solution for 5m-2(3m+1)=m-10 equation:


Simplifying
5m + -2(3m + 1) = m + -10

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

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

Combine like terms: 5m + -6m = -1m
-2 + -1m = m + -10

Reorder the terms:
-2 + -1m = -10 + m

Solving
-2 + -1m = -10 + 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.
-2 + -1m + -1m = -10 + m + -1m

Combine like terms: -1m + -1m = -2m
-2 + -2m = -10 + m + -1m

Combine like terms: m + -1m = 0
-2 + -2m = -10 + 0
-2 + -2m = -10

Add '2' to each side of the equation.
-2 + 2 + -2m = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -2m = -10 + 2
-2m = -10 + 2

Combine like terms: -10 + 2 = -8
-2m = -8

Divide each side by '-2'.
m = 4

Simplifying
m = 4

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