27=-3(21-m)+3(m-2)

Solution for 27=-3(21-m)+3(m-2) equation:

Simplifying
27 = -3(21 + -1m) + 3(m + -2)
27 = (21 * -3 + -1m * -3) + 3(m + -2)
27 = (-63 + 3m) + 3(m + -2)

Reorder the terms:
27 = -63 + 3m + 3(-2 + m)
27 = -63 + 3m + (-2 * 3 + m * 3)
27 = -63 + 3m + (-6 + 3m)

Reorder the terms:
27 = -63 + -6 + 3m + 3m

Combine like terms: -63 + -6 = -69
27 = -69 + 3m + 3m

Combine like terms: 3m + 3m = 6m
27 = -69 + 6m

Solving
27 = -69 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
27 + -6m = -69 + 6m + -6m

Combine like terms: 6m + -6m = 0
27 + -6m = -69 + 0
27 + -6m = -69

Add '-27' to each side of the equation.
27 + -27 + -6m = -69 + -27

Combine like terms: 27 + -27 = 0
0 + -6m = -69 + -27
-6m = -69 + -27

Combine like terms: -69 + -27 = -96
-6m = -96

Divide each side by '-6'.
m = 16

Simplifying
m = 16