6(2m+3)=4-(m-1)

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Solution for 6(2m+3)=4-(m-1) equation:


Simplifying
6(2m + 3) = 4 + -1(m + -1)

Reorder the terms:
6(3 + 2m) = 4 + -1(m + -1)
(3 * 6 + 2m * 6) = 4 + -1(m + -1)
(18 + 12m) = 4 + -1(m + -1)

Reorder the terms:
18 + 12m = 4 + -1(-1 + m)
18 + 12m = 4 + (-1 * -1 + m * -1)
18 + 12m = 4 + (1 + -1m)

Combine like terms: 4 + 1 = 5
18 + 12m = 5 + -1m

Solving
18 + 12m = 5 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
18 + 12m + m = 5 + -1m + m

Combine like terms: 12m + m = 13m
18 + 13m = 5 + -1m + m

Combine like terms: -1m + m = 0
18 + 13m = 5 + 0
18 + 13m = 5

Add '-18' to each side of the equation.
18 + -18 + 13m = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 13m = 5 + -18
13m = 5 + -18

Combine like terms: 5 + -18 = -13
13m = -13

Divide each side by '13'.
m = -1

Simplifying
m = -1

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