6(r-1)+6(r-4)=-54

Solution for 6(r-1)+6(r-4)=-54 equation:

Simplifying
6(r + -1) + 6(r + -4) = -54

Reorder the terms:
6(-1 + r) + 6(r + -4) = -54
(-1 * 6 + r * 6) + 6(r + -4) = -54
(-6 + 6r) + 6(r + -4) = -54

Reorder the terms:
-6 + 6r + 6(-4 + r) = -54
-6 + 6r + (-4 * 6 + r * 6) = -54
-6 + 6r + (-24 + 6r) = -54

Reorder the terms:
-6 + -24 + 6r + 6r = -54

Combine like terms: -6 + -24 = -30
-30 + 6r + 6r = -54

Combine like terms: 6r + 6r = 12r
-30 + 12r = -54

Solving
-30 + 12r = -54

Solving for variable 'r'.

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

Add '30' to each side of the equation.
-30 + 30 + 12r = -54 + 30

Combine like terms: -30 + 30 = 0
0 + 12r = -54 + 30
12r = -54 + 30

Combine like terms: -54 + 30 = -24
12r = -24

Divide each side by '12'.
r = -2

Simplifying
r = -2