2m-8(m-6)=-4(m-7)

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Solution for 2m-8(m-6)=-4(m-7) equation:


Simplifying
2m + -8(m + -6) = -4(m + -7)

Reorder the terms:
2m + -8(-6 + m) = -4(m + -7)
2m + (-6 * -8 + m * -8) = -4(m + -7)
2m + (48 + -8m) = -4(m + -7)

Reorder the terms:
48 + 2m + -8m = -4(m + -7)

Combine like terms: 2m + -8m = -6m
48 + -6m = -4(m + -7)

Reorder the terms:
48 + -6m = -4(-7 + m)
48 + -6m = (-7 * -4 + m * -4)
48 + -6m = (28 + -4m)

Solving
48 + -6m = 28 + -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.
48 + -6m + 4m = 28 + -4m + 4m

Combine like terms: -6m + 4m = -2m
48 + -2m = 28 + -4m + 4m

Combine like terms: -4m + 4m = 0
48 + -2m = 28 + 0
48 + -2m = 28

Add '-48' to each side of the equation.
48 + -48 + -2m = 28 + -48

Combine like terms: 48 + -48 = 0
0 + -2m = 28 + -48
-2m = 28 + -48

Combine like terms: 28 + -48 = -20
-2m = -20

Divide each side by '-2'.
m = 10

Simplifying
m = 10

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