-9(r-9)=-7(r+5)

Solution for -9(r-9)=-7(r+5) equation:

Simplifying
-9(r + -9) = -7(r + 5)

Reorder the terms:
-9(-9 + r) = -7(r + 5)
(-9 * -9 + r * -9) = -7(r + 5)
(81 + -9r) = -7(r + 5)

Reorder the terms:
81 + -9r = -7(5 + r)
81 + -9r = (5 * -7 + r * -7)
81 + -9r = (-35 + -7r)

Solving
81 + -9r = -35 + -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.
81 + -9r + 7r = -35 + -7r + 7r

Combine like terms: -9r + 7r = -2r
81 + -2r = -35 + -7r + 7r

Combine like terms: -7r + 7r = 0
81 + -2r = -35 + 0
81 + -2r = -35

Add '-81' to each side of the equation.
81 + -81 + -2r = -35 + -81

Combine like terms: 81 + -81 = 0
0 + -2r = -35 + -81
-2r = -35 + -81

Combine like terms: -35 + -81 = -116
-2r = -116

Divide each side by '-2'.
r = 58

Simplifying
r = 58