18-0.7(m-12)=0.4(4m-12)

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Solution for 18-0.7(m-12)=0.4(4m-12) equation: 


Simplifying
18 + -0.7(m + -12) = 0.4(4m + -12)

Reorder the terms:
18 + -0.7(-12 + m) = 0.4(4m + -12)
18 + (-12 * -0.7 + m * -0.7) = 0.4(4m + -12)
18 + (8.4 + -0.7m) = 0.4(4m + -12)

Combine like terms: 18 + 8.4 = 26.4
26.4 + -0.7m = 0.4(4m + -12)

Reorder the terms:
26.4 + -0.7m = 0.4(-12 + 4m)
26.4 + -0.7m = (-12 * 0.4 + 4m * 0.4)
26.4 + -0.7m = (-4.8 + 1.6m)

Solving
26.4 + -0.7m = -4.8 + 1.6m

Solving for variable 'm'.

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

Add '-1.6m' to each side of the equation.
26.4 + -0.7m + -1.6m = -4.8 + 1.6m + -1.6m

Combine like terms: -0.7m + -1.6m = -2.3m
26.4 + -2.3m = -4.8 + 1.6m + -1.6m

Combine like terms: 1.6m + -1.6m = 0.0
26.4 + -2.3m = -4.8 + 0.0
26.4 + -2.3m = -4.8

Add '-26.4' to each side of the equation.
26.4 + -26.4 + -2.3m = -4.8 + -26.4

Combine like terms: 26.4 + -26.4 = 0.0
0.0 + -2.3m = -4.8 + -26.4
-2.3m = -4.8 + -26.4

Combine like terms: -4.8 + -26.4 = -31.2
-2.3m = -31.2

Divide each side by '-2.3'.
m = 13.56521739

Simplifying
m = 13.56521739

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