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

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


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

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

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

Solving
-12 + 4m = 6 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-12 + 4m + -6m = 6 + 6m + -6m

Combine like terms: 4m + -6m = -2m
-12 + -2m = 6 + 6m + -6m

Combine like terms: 6m + -6m = 0
-12 + -2m = 6 + 0
-12 + -2m = 6

Add '12' to each side of the equation.
-12 + 12 + -2m = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -2m = 6 + 12
-2m = 6 + 12

Combine like terms: 6 + 12 = 18
-2m = 18

Divide each side by '-2'.
m = -9

Simplifying
m = -9

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