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Simplifying 8(-7r + -5) + -8(7r + -9) = 0 Reorder the terms: 8(-5 + -7r) + -8(7r + -9) = 0 (-5 * 8 + -7r * 8) + -8(7r + -9) = 0 (-40 + -56r) + -8(7r + -9) = 0 Reorder the terms: -40 + -56r + -8(-9 + 7r) = 0 -40 + -56r + (-9 * -8 + 7r * -8) = 0 -40 + -56r + (72 + -56r) = 0 Reorder the terms: -40 + 72 + -56r + -56r = 0 Combine like terms: -40 + 72 = 32 32 + -56r + -56r = 0 Combine like terms: -56r + -56r = -112r 32 + -112r = 0 Solving 32 + -112r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -112r = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -112r = 0 + -32 -112r = 0 + -32 Combine like terms: 0 + -32 = -32 -112r = -32 Divide each side by '-112'. r = 0.2857142857 Simplifying r = 0.2857142857
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