-35+6r=-5r-6(1+3r)

Solution for -35+6r=-5r-6(1+3r) equation:

Simplifying
-35 + 6r = -5r + -6(1 + 3r)
-35 + 6r = -5r + (1 * -6 + 3r * -6)
-35 + 6r = -5r + (-6 + -18r)

Reorder the terms:
-35 + 6r = -6 + -5r + -18r

Combine like terms: -5r + -18r = -23r
-35 + 6r = -6 + -23r

Solving
-35 + 6r = -6 + -23r

Solving for variable 'r'.

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

Add '23r' to each side of the equation.
-35 + 6r + 23r = -6 + -23r + 23r

Combine like terms: 6r + 23r = 29r
-35 + 29r = -6 + -23r + 23r

Combine like terms: -23r + 23r = 0
-35 + 29r = -6 + 0
-35 + 29r = -6

Add '35' to each side of the equation.
-35 + 35 + 29r = -6 + 35

Combine like terms: -35 + 35 = 0
0 + 29r = -6 + 35
29r = -6 + 35

Combine like terms: -6 + 35 = 29
29r = 29

Divide each side by '29'.
r = 1

Simplifying
r = 1