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Simplifying -4(6r + 10) + 9(9r + 4) = 0 Reorder the terms: -4(10 + 6r) + 9(9r + 4) = 0 (10 * -4 + 6r * -4) + 9(9r + 4) = 0 (-40 + -24r) + 9(9r + 4) = 0 Reorder the terms: -40 + -24r + 9(4 + 9r) = 0 -40 + -24r + (4 * 9 + 9r * 9) = 0 -40 + -24r + (36 + 81r) = 0 Reorder the terms: -40 + 36 + -24r + 81r = 0 Combine like terms: -40 + 36 = -4 -4 + -24r + 81r = 0 Combine like terms: -24r + 81r = 57r -4 + 57r = 0 Solving -4 + 57r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 57r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 57r = 0 + 4 57r = 0 + 4 Combine like terms: 0 + 4 = 4 57r = 4 Divide each side by '57'. r = 0.0701754386 Simplifying r = 0.0701754386
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