-2(r-9)=-8(5r+12)

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Solution for -2(r-9)=-8(5r+12) equation: 


Simplifying
-2(r + -9) = -8(5r + 12)

Reorder the terms:
-2(-9 + r) = -8(5r + 12)
(-9 * -2 + r * -2) = -8(5r + 12)
(18 + -2r) = -8(5r + 12)

Reorder the terms:
18 + -2r = -8(12 + 5r)
18 + -2r = (12 * -8 + 5r * -8)
18 + -2r = (-96 + -40r)

Solving
18 + -2r = -96 + -40r

Solving for variable 'r'.

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

Add '40r' to each side of the equation.
18 + -2r + 40r = -96 + -40r + 40r

Combine like terms: -2r + 40r = 38r
18 + 38r = -96 + -40r + 40r

Combine like terms: -40r + 40r = 0
18 + 38r = -96 + 0
18 + 38r = -96

Add '-18' to each side of the equation.
18 + -18 + 38r = -96 + -18

Combine like terms: 18 + -18 = 0
0 + 38r = -96 + -18
38r = -96 + -18

Combine like terms: -96 + -18 = -114
38r = -114

Divide each side by '38'.
r = -3

Simplifying
r = -3

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