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Simplifying -4 = 8(-6 + -6r) + -5(-6r + 2) -4 = (-6 * 8 + -6r * 8) + -5(-6r + 2) -4 = (-48 + -48r) + -5(-6r + 2) Reorder the terms: -4 = -48 + -48r + -5(2 + -6r) -4 = -48 + -48r + (2 * -5 + -6r * -5) -4 = -48 + -48r + (-10 + 30r) Reorder the terms: -4 = -48 + -10 + -48r + 30r Combine like terms: -48 + -10 = -58 -4 = -58 + -48r + 30r Combine like terms: -48r + 30r = -18r -4 = -58 + -18r Solving -4 = -58 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. -4 + 18r = -58 + -18r + 18r Combine like terms: -18r + 18r = 0 -4 + 18r = -58 + 0 -4 + 18r = -58 Add '4' to each side of the equation. -4 + 4 + 18r = -58 + 4 Combine like terms: -4 + 4 = 0 0 + 18r = -58 + 4 18r = -58 + 4 Combine like terms: -58 + 4 = -54 18r = -54 Divide each side by '18'. r = -3 Simplifying r = -3
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