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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 = 34 -46r = 34 Divide each side by '-46'. r = -0.7391304348 Simplifying r = -0.7391304348
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