4(m-3)-6=5(m+1)

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Solution for 4(m-3)-6=5(m+1) equation:


Simplifying
4(m + -3) + -6 = 5(m + 1)

Reorder the terms:
4(-3 + m) + -6 = 5(m + 1)
(-3 * 4 + m * 4) + -6 = 5(m + 1)
(-12 + 4m) + -6 = 5(m + 1)

Reorder the terms:
-12 + -6 + 4m = 5(m + 1)

Combine like terms: -12 + -6 = -18
-18 + 4m = 5(m + 1)

Reorder the terms:
-18 + 4m = 5(1 + m)
-18 + 4m = (1 * 5 + m * 5)
-18 + 4m = (5 + 5m)

Solving
-18 + 4m = 5 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-18 + 4m + -5m = 5 + 5m + -5m

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

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

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

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

Combine like terms: 5 + 18 = 23
-1m = 23

Divide each side by '-1'.
m = -23

Simplifying
m = -23

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