-100=4(r-1)+8r

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Solution for -100=4(r-1)+8r equation:


Simplifying
-100 = 4(r + -1) + 8r

Reorder the terms:
-100 = 4(-1 + r) + 8r
-100 = (-1 * 4 + r * 4) + 8r
-100 = (-4 + 4r) + 8r

Combine like terms: 4r + 8r = 12r
-100 = -4 + 12r

Solving
-100 = -4 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-100 + -12r = -4 + 12r + -12r

Combine like terms: 12r + -12r = 0
-100 + -12r = -4 + 0
-100 + -12r = -4

Add '100' to each side of the equation.
-100 + 100 + -12r = -4 + 100

Combine like terms: -100 + 100 = 0
0 + -12r = -4 + 100
-12r = -4 + 100

Combine like terms: -4 + 100 = 96
-12r = 96

Divide each side by '-12'.
r = -8

Simplifying
r = -8

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