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Simplifying -92 = -8 + -6(2r + 2) Reorder the terms: -92 = -8 + -6(2 + 2r) -92 = -8 + (2 * -6 + 2r * -6) -92 = -8 + (-12 + -12r) Combine like terms: -8 + -12 = -20 -92 = -20 + -12r Solving -92 = -20 + -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. -92 + 12r = -20 + -12r + 12r Combine like terms: -12r + 12r = 0 -92 + 12r = -20 + 0 -92 + 12r = -20 Add '92' to each side of the equation. -92 + 92 + 12r = -20 + 92 Combine like terms: -92 + 92 = 0 0 + 12r = -20 + 92 12r = -20 + 92 Combine like terms: -20 + 92 = 72 12r = 72 Divide each side by '12'. r = 6 Simplifying r = 6
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