3(5m+2)=3[5(3+2m)-(m-9)]

Solution for 3(5m+2)=3[5(3+2m)-(m-9)] equation:

Simplifying
3(5m + 2) = 3[5(3 + 2m) + -1(m + -9)]

Reorder the terms:
3(2 + 5m) = 3[5(3 + 2m) + -1(m + -9)]
(2 * 3 + 5m * 3) = 3[5(3 + 2m) + -1(m + -9)]
(6 + 15m) = 3[5(3 + 2m) + -1(m + -9)]
6 + 15m = 3[(3 * 5 + 2m * 5) + -1(m + -9)]
6 + 15m = 3[(15 + 10m) + -1(m + -9)]

Reorder the terms:
6 + 15m = 3[15 + 10m + -1(-9 + m)]
6 + 15m = 3[15 + 10m + (-9 * -1 + m * -1)]
6 + 15m = 3[15 + 10m + (9 + -1m)]

Reorder the terms:
6 + 15m = 3[15 + 9 + 10m + -1m]

Combine like terms: 15 + 9 = 24
6 + 15m = 3[24 + 10m + -1m]

Combine like terms: 10m + -1m = 9m
6 + 15m = 3[24 + 9m]
6 + 15m = [24 * 3 + 9m * 3]
6 + 15m = [72 + 27m]

Solving
6 + 15m = 72 + 27m

Solving for variable 'm'.

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

Add '-27m' to each side of the equation.
6 + 15m + -27m = 72 + 27m + -27m

Combine like terms: 15m + -27m = -12m
6 + -12m = 72 + 27m + -27m

Combine like terms: 27m + -27m = 0
6 + -12m = 72 + 0
6 + -12m = 72

Add '-6' to each side of the equation.
6 + -6 + -12m = 72 + -6

Combine like terms: 6 + -6 = 0
0 + -12m = 72 + -6
-12m = 72 + -6

Combine like terms: 72 + -6 = 66
-12m = 66

Divide each side by '-12'.
m = -5.5

Simplifying
m = -5.5