2-(-6r+3)=7r+6

Solution for 2-(-6r+3)=7r+6 equation:

Simplifying
2 + -1(-6r + 3) = 7r + 6

Reorder the terms:
2 + -1(3 + -6r) = 7r + 6
2 + (3 * -1 + -6r * -1) = 7r + 6
2 + (-3 + 6r) = 7r + 6

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

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

Solving
-1 + 6r = 6 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-1 + 6r + -7r = 6 + 7r + -7r

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

Combine like terms: 7r + -7r = 0
-1 + -1r = 6 + 0
-1 + -1r = 6

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

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

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

Divide each side by '-1'.
r = -7

Simplifying
r = -7