8.7-4.5=-3(1.5m-2.1)+4.2

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Solution for 8.7-4.5=-3(1.5m-2.1)+4.2 equation: 


Simplifying
8.7 + -4.5 = -3(1.5m + -2.1) + 4.2

Combine like terms: 8.7 + -4.5 = 4.2
4.2 = -3(1.5m + -2.1) + 4.2

Reorder the terms:
4.2 = -3(-2.1 + 1.5m) + 4.2
4.2 = (-2.1 * -3 + 1.5m * -3) + 4.2
4.2 = (6.3 + -4.5m) + 4.2

Reorder the terms:
4.2 = 6.3 + 4.2 + -4.5m

Combine like terms: 6.3 + 4.2 = 10.5
4.2 = 10.5 + -4.5m

Solving
4.2 = 10.5 + -4.5m

Solving for variable 'm'.

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

Add '4.5m' to each side of the equation.
4.2 + 4.5m = 10.5 + -4.5m + 4.5m

Combine like terms: -4.5m + 4.5m = 0.0
4.2 + 4.5m = 10.5 + 0.0
4.2 + 4.5m = 10.5

Add '-4.2' to each side of the equation.
4.2 + -4.2 + 4.5m = 10.5 + -4.2

Combine like terms: 4.2 + -4.2 = 0.0
0.0 + 4.5m = 10.5 + -4.2
4.5m = 10.5 + -4.2

Combine like terms: 10.5 + -4.2 = 6.3
4.5m = 6.3

Divide each side by '4.5'.
m = 1.4

Simplifying
m = 1.4

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