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Simplifying -8(-5 + 6r) = -2r + -6 (-5 * -8 + 6r * -8) = -2r + -6 (40 + -48r) = -2r + -6 Reorder the terms: 40 + -48r = -6 + -2r Solving 40 + -48r = -6 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 40 + -48r + 2r = -6 + -2r + 2r Combine like terms: -48r + 2r = -46r 40 + -46r = -6 + -2r + 2r Combine like terms: -2r + 2r = 0 40 + -46r = -6 + 0 40 + -46r = -6 Add '-40' to each side of the equation. 40 + -40 + -46r = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -46r = -6 + -40 -46r = -6 + -40 Combine like terms: -6 + -40 = -46 -46r = -46 Divide each side by '-46'. r = 1 Simplifying r = 1
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