5(r-8)+8(5r+6)=-37

Solution for 5(r-8)+8(5r+6)=-37 equation:

Simplifying
5(r + -8) + 8(5r + 6) = -37

Reorder the terms:
5(-8 + r) + 8(5r + 6) = -37
(-8 * 5 + r * 5) + 8(5r + 6) = -37
(-40 + 5r) + 8(5r + 6) = -37

Reorder the terms:
-40 + 5r + 8(6 + 5r) = -37
-40 + 5r + (6 * 8 + 5r * 8) = -37
-40 + 5r + (48 + 40r) = -37

Reorder the terms:
-40 + 48 + 5r + 40r = -37

Combine like terms: -40 + 48 = 8
8 + 5r + 40r = -37

Combine like terms: 5r + 40r = 45r
8 + 45r = -37

Solving
8 + 45r = -37

Solving for variable 'r'.

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

Add '-8' to each side of the equation.
8 + -8 + 45r = -37 + -8

Combine like terms: 8 + -8 = 0
0 + 45r = -37 + -8
45r = -37 + -8

Combine like terms: -37 + -8 = -45
45r = -45

Divide each side by '45'.
r = -1

Simplifying
r = -1