4(m-3)=10m-8(m-7)

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Solution for 4(m-3)=10m-8(m-7) equation:


Simplifying
4(m + -3) = 10m + -8(m + -7)

Reorder the terms:
4(-3 + m) = 10m + -8(m + -7)
(-3 * 4 + m * 4) = 10m + -8(m + -7)
(-12 + 4m) = 10m + -8(m + -7)

Reorder the terms:
-12 + 4m = 10m + -8(-7 + m)
-12 + 4m = 10m + (-7 * -8 + m * -8)
-12 + 4m = 10m + (56 + -8m)

Reorder the terms:
-12 + 4m = 56 + 10m + -8m

Combine like terms: 10m + -8m = 2m
-12 + 4m = 56 + 2m

Solving
-12 + 4m = 56 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-12 + 4m + -2m = 56 + 2m + -2m

Combine like terms: 4m + -2m = 2m
-12 + 2m = 56 + 2m + -2m

Combine like terms: 2m + -2m = 0
-12 + 2m = 56 + 0
-12 + 2m = 56

Add '12' to each side of the equation.
-12 + 12 + 2m = 56 + 12

Combine like terms: -12 + 12 = 0
0 + 2m = 56 + 12
2m = 56 + 12

Combine like terms: 56 + 12 = 68
2m = 68

Divide each side by '2'.
m = 34

Simplifying
m = 34

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