(8r+3)-(1+7r)=6

Solution for (8r+3)-(1+7r)=6 equation:

Simplifying
(8r + 3) + -1(1 + 7r) = 6

Reorder the terms:
(3 + 8r) + -1(1 + 7r) = 6

Remove parenthesis around (3 + 8r)
3 + 8r + -1(1 + 7r) = 6
3 + 8r + (1 * -1 + 7r * -1) = 6
3 + 8r + (-1 + -7r) = 6

Reorder the terms:
3 + -1 + 8r + -7r = 6

Combine like terms: 3 + -1 = 2
2 + 8r + -7r = 6

Combine like terms: 8r + -7r = 1r
2 + 1r = 6

Solving
2 + 1r = 6

Solving for variable 'r'.

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

Add '-2' to each side of the equation.
2 + -2 + 1r = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = 6 + -2
1r = 6 + -2

Combine like terms: 6 + -2 = 4
1r = 4

Divide each side by '1'.
r = 4

Simplifying
r = 4