7(m-4)-2m=4(m-3)

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Solution for 7(m-4)-2m=4(m-3) equation:


Simplifying
7(m + -4) + -2m = 4(m + -3)

Reorder the terms:
7(-4 + m) + -2m = 4(m + -3)
(-4 * 7 + m * 7) + -2m = 4(m + -3)
(-28 + 7m) + -2m = 4(m + -3)

Combine like terms: 7m + -2m = 5m
-28 + 5m = 4(m + -3)

Reorder the terms:
-28 + 5m = 4(-3 + m)
-28 + 5m = (-3 * 4 + m * 4)
-28 + 5m = (-12 + 4m)

Solving
-28 + 5m = -12 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-28 + 5m + -4m = -12 + 4m + -4m

Combine like terms: 5m + -4m = 1m
-28 + 1m = -12 + 4m + -4m

Combine like terms: 4m + -4m = 0
-28 + 1m = -12 + 0
-28 + 1m = -12

Add '28' to each side of the equation.
-28 + 28 + 1m = -12 + 28

Combine like terms: -28 + 28 = 0
0 + 1m = -12 + 28
1m = -12 + 28

Combine like terms: -12 + 28 = 16
1m = 16

Divide each side by '1'.
m = 16

Simplifying
m = 16

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