-6(1-6r)=5r-37

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Solution for -6(1-6r)=5r-37 equation:


Simplifying
-6(1 + -6r) = 5r + -37
(1 * -6 + -6r * -6) = 5r + -37
(-6 + 36r) = 5r + -37

Reorder the terms:
-6 + 36r = -37 + 5r

Solving
-6 + 36r = -37 + 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.
-6 + 36r + -5r = -37 + 5r + -5r

Combine like terms: 36r + -5r = 31r
-6 + 31r = -37 + 5r + -5r

Combine like terms: 5r + -5r = 0
-6 + 31r = -37 + 0
-6 + 31r = -37

Add '6' to each side of the equation.
-6 + 6 + 31r = -37 + 6

Combine like terms: -6 + 6 = 0
0 + 31r = -37 + 6
31r = -37 + 6

Combine like terms: -37 + 6 = -31
31r = -31

Divide each side by '31'.
r = -1

Simplifying
r = -1

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