7(r+5)-3(r-8)=

Solution for 7(r+5)-3(r-8)= equation:

Simplifying
7(r + 5) + -3(r + -8) = 0

Reorder the terms:
7(5 + r) + -3(r + -8) = 0
(5 * 7 + r * 7) + -3(r + -8) = 0
(35 + 7r) + -3(r + -8) = 0

Reorder the terms:
35 + 7r + -3(-8 + r) = 0
35 + 7r + (-8 * -3 + r * -3) = 0
35 + 7r + (24 + -3r) = 0

Reorder the terms:
35 + 24 + 7r + -3r = 0

Combine like terms: 35 + 24 = 59
59 + 7r + -3r = 0

Combine like terms: 7r + -3r = 4r
59 + 4r = 0

Solving
59 + 4r = 0

Solving for variable 'r'.

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

Add '-59' to each side of the equation.
59 + -59 + 4r = 0 + -59

Combine like terms: 59 + -59 = 0
0 + 4r = 0 + -59
4r = 0 + -59

Combine like terms: 0 + -59 = -59
4r = -59

Divide each side by '4'.
r = -14.75

Simplifying
r = -14.75