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

Solution for -7(r-6)+3(1-2r)=-7 equation:

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

Reorder the terms:
-7(-6 + r) + 3(1 + -2r) = -7
(-6 * -7 + r * -7) + 3(1 + -2r) = -7
(42 + -7r) + 3(1 + -2r) = -7
42 + -7r + (1 * 3 + -2r * 3) = -7
42 + -7r + (3 + -6r) = -7

Reorder the terms:
42 + 3 + -7r + -6r = -7

Combine like terms: 42 + 3 = 45
45 + -7r + -6r = -7

Combine like terms: -7r + -6r = -13r
45 + -13r = -7

Solving
45 + -13r = -7

Solving for variable 'r'.

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

Add '-45' to each side of the equation.
45 + -45 + -13r = -7 + -45

Combine like terms: 45 + -45 = 0
0 + -13r = -7 + -45
-13r = -7 + -45

Combine like terms: -7 + -45 = -52
-13r = -52

Divide each side by '-13'.
r = 4

Simplifying
r = 4