6-3(-8r-7)=3r+6

Solution for 6-3(-8r-7)=3r+6 equation:

Simplifying
6 + -3(-8r + -7) = 3r + 6

Reorder the terms:
6 + -3(-7 + -8r) = 3r + 6
6 + (-7 * -3 + -8r * -3) = 3r + 6
6 + (21 + 24r) = 3r + 6

Combine like terms: 6 + 21 = 27
27 + 24r = 3r + 6

Reorder the terms:
27 + 24r = 6 + 3r

Solving
27 + 24r = 6 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
27 + 24r + -3r = 6 + 3r + -3r

Combine like terms: 24r + -3r = 21r
27 + 21r = 6 + 3r + -3r

Combine like terms: 3r + -3r = 0
27 + 21r = 6 + 0
27 + 21r = 6

Add '-27' to each side of the equation.
27 + -27 + 21r = 6 + -27

Combine like terms: 27 + -27 = 0
0 + 21r = 6 + -27
21r = 6 + -27

Combine like terms: 6 + -27 = -21
21r = -21

Divide each side by '21'.
r = -1

Simplifying
r = -1