-3(7r-7)=-8r-31

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Solution for -3(7r-7)=-8r-31 equation:


Simplifying
-3(7r + -7) = -8r + -31

Reorder the terms:
-3(-7 + 7r) = -8r + -31
(-7 * -3 + 7r * -3) = -8r + -31
(21 + -21r) = -8r + -31

Reorder the terms:
21 + -21r = -31 + -8r

Solving
21 + -21r = -31 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
21 + -21r + 8r = -31 + -8r + 8r

Combine like terms: -21r + 8r = -13r
21 + -13r = -31 + -8r + 8r

Combine like terms: -8r + 8r = 0
21 + -13r = -31 + 0
21 + -13r = -31

Add '-21' to each side of the equation.
21 + -21 + -13r = -31 + -21

Combine like terms: 21 + -21 = 0
0 + -13r = -31 + -21
-13r = -31 + -21

Combine like terms: -31 + -21 = -52
-13r = -52

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

Simplifying
r = 4

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