-(r-6)=2(r-9)

Solution for -(r-6)=2(r-9) equation:

Simplifying
-1(r + -6) = 2(r + -9)

Reorder the terms:
-1(-6 + r) = 2(r + -9)
(-6 * -1 + r * -1) = 2(r + -9)
(6 + -1r) = 2(r + -9)

Reorder the terms:
6 + -1r = 2(-9 + r)
6 + -1r = (-9 * 2 + r * 2)
6 + -1r = (-18 + 2r)

Solving
6 + -1r = -18 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
6 + -1r + -2r = -18 + 2r + -2r

Combine like terms: -1r + -2r = -3r
6 + -3r = -18 + 2r + -2r

Combine like terms: 2r + -2r = 0
6 + -3r = -18 + 0
6 + -3r = -18

Add '-6' to each side of the equation.
6 + -6 + -3r = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -3r = -18 + -6
-3r = -18 + -6

Combine like terms: -18 + -6 = -24
-3r = -24

Divide each side by '-3'.
r = 8

Simplifying
r = 8