2(3m+1)+7=m-20

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Solution for 2(3m+1)+7=m-20 equation:


Simplifying
2(3m + 1) + 7 = m + -20

Reorder the terms:
2(1 + 3m) + 7 = m + -20
(1 * 2 + 3m * 2) + 7 = m + -20
(2 + 6m) + 7 = m + -20

Reorder the terms:
2 + 7 + 6m = m + -20

Combine like terms: 2 + 7 = 9
9 + 6m = m + -20

Reorder the terms:
9 + 6m = -20 + m

Solving
9 + 6m = -20 + 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.
9 + 6m + -1m = -20 + m + -1m

Combine like terms: 6m + -1m = 5m
9 + 5m = -20 + m + -1m

Combine like terms: m + -1m = 0
9 + 5m = -20 + 0
9 + 5m = -20

Add '-9' to each side of the equation.
9 + -9 + 5m = -20 + -9

Combine like terms: 9 + -9 = 0
0 + 5m = -20 + -9
5m = -20 + -9

Combine like terms: -20 + -9 = -29
5m = -29

Divide each side by '5'.
m = -5.8

Simplifying
m = -5.8

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