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Simplifying -6(r + 5) = 8(-6 + -3r) Reorder the terms: -6(5 + r) = 8(-6 + -3r) (5 * -6 + r * -6) = 8(-6 + -3r) (-30 + -6r) = 8(-6 + -3r) -30 + -6r = (-6 * 8 + -3r * 8) -30 + -6r = (-48 + -24r) Solving -30 + -6r = -48 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -30 + -6r + 24r = -48 + -24r + 24r Combine like terms: -6r + 24r = 18r -30 + 18r = -48 + -24r + 24r Combine like terms: -24r + 24r = 0 -30 + 18r = -48 + 0 -30 + 18r = -48 Add '30' to each side of the equation. -30 + 30 + 18r = -48 + 30 Combine like terms: -30 + 30 = 0 0 + 18r = -48 + 30 18r = -48 + 30 Combine like terms: -48 + 30 = -18 18r = -18 Divide each side by '18'. r = -1 Simplifying r = -1
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