24=3(m-1)-4(m-6)

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Solution for 24=3(m-1)-4(m-6) equation:


Simplifying
24 = 3(m + -1) + -4(m + -6)

Reorder the terms:
24 = 3(-1 + m) + -4(m + -6)
24 = (-1 * 3 + m * 3) + -4(m + -6)
24 = (-3 + 3m) + -4(m + -6)

Reorder the terms:
24 = -3 + 3m + -4(-6 + m)
24 = -3 + 3m + (-6 * -4 + m * -4)
24 = -3 + 3m + (24 + -4m)

Reorder the terms:
24 = -3 + 24 + 3m + -4m

Combine like terms: -3 + 24 = 21
24 = 21 + 3m + -4m

Combine like terms: 3m + -4m = -1m
24 = 21 + -1m

Solving
24 = 21 + -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.
24 + m = 21 + -1m + m

Combine like terms: -1m + m = 0
24 + m = 21 + 0
24 + m = 21

Add '-24' to each side of the equation.
24 + -24 + m = 21 + -24

Combine like terms: 24 + -24 = 0
0 + m = 21 + -24
m = 21 + -24

Combine like terms: 21 + -24 = -3
m = -3

Simplifying
m = -3

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