-6(r-6)=5(r-6)

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Solution for -6(r-6)=5(r-6) equation:


Simplifying
-6(r + -6) = 5(r + -6)

Reorder the terms:
-6(-6 + r) = 5(r + -6)
(-6 * -6 + r * -6) = 5(r + -6)
(36 + -6r) = 5(r + -6)

Reorder the terms:
36 + -6r = 5(-6 + r)
36 + -6r = (-6 * 5 + r * 5)
36 + -6r = (-30 + 5r)

Solving
36 + -6r = -30 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
36 + -6r + -5r = -30 + 5r + -5r

Combine like terms: -6r + -5r = -11r
36 + -11r = -30 + 5r + -5r

Combine like terms: 5r + -5r = 0
36 + -11r = -30 + 0
36 + -11r = -30

Add '-36' to each side of the equation.
36 + -36 + -11r = -30 + -36

Combine like terms: 36 + -36 = 0
0 + -11r = -30 + -36
-11r = -30 + -36

Combine like terms: -30 + -36 = -66
-11r = -66

Divide each side by '-11'.
r = 6

Simplifying
r = 6

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