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Simplifying -4(6r + 10) + 9(9 + 4) = 0 Reorder the terms: -4(10 + 6r) + 9(9 + 4) = 0 (10 * -4 + 6r * -4) + 9(9 + 4) = 0 (-40 + -24r) + 9(9 + 4) = 0 Combine like terms: 9 + 4 = 13 -40 + -24r + 9(13) = 0 Multiply 9 * 13 -40 + -24r + 117 = 0 Reorder the terms: -40 + 117 + -24r = 0 Combine like terms: -40 + 117 = 77 77 + -24r = 0 Solving 77 + -24r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -24r = 0 + -77 Combine like terms: 77 + -77 = 0 0 + -24r = 0 + -77 -24r = 0 + -77 Combine like terms: 0 + -77 = -77 -24r = -77 Divide each side by '-24'. r = 3.208333333 Simplifying r = 3.208333333
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