Question

Branliest solve the equation 8.7=3.5m-2.5(5.4-6m)

Answer 1

Simplifying
8.7 = 3.5m + -2.5(5.4 + -6m)
8.7 = 3.5m + (5.4 * -2.5 + -6m * -2.5)
8.7 = 3.5m + (-13.5 + 15m)

Reorder the terms:
8.7 = -13.5 + 3.5m + 15m

Combine like terms: 3.5m + 15m = 18.5m
8.7 = -13.5 + 18.5m

Solving
8.7 = -13.5 + 18.5m

Solving for variable 'm'.

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

Add '-18.5m' to each side of the equation.
8.7 + -18.5m = -13.5 + 18.5m + -18.5m

Combine like terms: 18.5m + -18.5m = 0.0
8.7 + -18.5m = -13.5 + 0.0
8.7 + -18.5m = -13.5

Add '-8.7' to each side of the equation.
8.7 + -8.7 + -18.5m = -13.5 + -8.7

Combine like terms: 8.7 + -8.7 = 0.0
0.0 + -18.5m = -13.5 + -8.7
-18.5m = -13.5 + -8.7

Combine like terms: -13.5 + -8.7 = -22.2
-18.5m = -22.2

Divide each side by '-18.5'.
m = 1.2

Simplifying
m = 1.2