6(r+10)+3(2r-7)=-45

Solution for 6(r+10)+3(2r-7)=-45 equation:

Simplifying
6(r + 10) + 3(2r + -7) = -45

Reorder the terms:
6(10 + r) + 3(2r + -7) = -45
(10 * 6 + r * 6) + 3(2r + -7) = -45
(60 + 6r) + 3(2r + -7) = -45

Reorder the terms:
60 + 6r + 3(-7 + 2r) = -45
60 + 6r + (-7 * 3 + 2r * 3) = -45
60 + 6r + (-21 + 6r) = -45

Reorder the terms:
60 + -21 + 6r + 6r = -45

Combine like terms: 60 + -21 = 39
39 + 6r + 6r = -45

Combine like terms: 6r + 6r = 12r
39 + 12r = -45

Solving
39 + 12r = -45

Solving for variable 'r'.

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

Add '-39' to each side of the equation.
39 + -39 + 12r = -45 + -39

Combine like terms: 39 + -39 = 0
0 + 12r = -45 + -39
12r = -45 + -39

Combine like terms: -45 + -39 = -84
12r = -84

Divide each side by '12'.
r = -7

Simplifying
r = -7