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Simplifying -20r + -8 + -12 = -8(r + -14) Reorder the terms: -8 + -12 + -20r = -8(r + -14) Combine like terms: -8 + -12 = -20 -20 + -20r = -8(r + -14) Reorder the terms: -20 + -20r = -8(-14 + r) -20 + -20r = (-14 * -8 + r * -8) -20 + -20r = (112 + -8r) Solving -20 + -20r = 112 + -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. -20 + -20r + 8r = 112 + -8r + 8r Combine like terms: -20r + 8r = -12r -20 + -12r = 112 + -8r + 8r Combine like terms: -8r + 8r = 0 -20 + -12r = 112 + 0 -20 + -12r = 112 Add '20' to each side of the equation. -20 + 20 + -12r = 112 + 20 Combine like terms: -20 + 20 = 0 0 + -12r = 112 + 20 -12r = 112 + 20 Combine like terms: 112 + 20 = 132 -12r = 132 Divide each side by '-12'. r = -11 Simplifying r = -11
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