-4(r-3)=2(r+11)+8

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Solution for -4(r-3)=2(r+11)+8 equation: 


Simplifying
-4(r + -3) = 2(r + 11) + 8

Reorder the terms:
-4(-3 + r) = 2(r + 11) + 8
(-3 * -4 + r * -4) = 2(r + 11) + 8
(12 + -4r) = 2(r + 11) + 8

Reorder the terms:
12 + -4r = 2(11 + r) + 8
12 + -4r = (11 * 2 + r * 2) + 8
12 + -4r = (22 + 2r) + 8

Reorder the terms:
12 + -4r = 22 + 8 + 2r

Combine like terms: 22 + 8 = 30
12 + -4r = 30 + 2r

Solving
12 + -4r = 30 + 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.
12 + -4r + -2r = 30 + 2r + -2r

Combine like terms: -4r + -2r = -6r
12 + -6r = 30 + 2r + -2r

Combine like terms: 2r + -2r = 0
12 + -6r = 30 + 0
12 + -6r = 30

Add '-12' to each side of the equation.
12 + -12 + -6r = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -6r = 30 + -12
-6r = 30 + -12

Combine like terms: 30 + -12 = 18
-6r = 18

Divide each side by '-6'.
r = -3

Simplifying
r = -3

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