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

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


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

Reorder the terms:
7(-2 + m) = 4(m + -4)
(-2 * 7 + m * 7) = 4(m + -4)
(-14 + 7m) = 4(m + -4)

Reorder the terms:
-14 + 7m = 4(-4 + m)
-14 + 7m = (-4 * 4 + m * 4)
-14 + 7m = (-16 + 4m)

Solving
-14 + 7m = -16 + 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.
-14 + 7m + -4m = -16 + 4m + -4m

Combine like terms: 7m + -4m = 3m
-14 + 3m = -16 + 4m + -4m

Combine like terms: 4m + -4m = 0
-14 + 3m = -16 + 0
-14 + 3m = -16

Add '14' to each side of the equation.
-14 + 14 + 3m = -16 + 14

Combine like terms: -14 + 14 = 0
0 + 3m = -16 + 14
3m = -16 + 14

Combine like terms: -16 + 14 = -2
3m = -2

Divide each side by '3'.
m = -0.6666666667

Simplifying
m = -0.6666666667

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