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Simplifying 9(3r + 3) + -5(-8 + 2r) = 0 Reorder the terms: 9(3 + 3r) + -5(-8 + 2r) = 0 (3 * 9 + 3r * 9) + -5(-8 + 2r) = 0 (27 + 27r) + -5(-8 + 2r) = 0 27 + 27r + (-8 * -5 + 2r * -5) = 0 27 + 27r + (40 + -10r) = 0 Reorder the terms: 27 + 40 + 27r + -10r = 0 Combine like terms: 27 + 40 = 67 67 + 27r + -10r = 0 Combine like terms: 27r + -10r = 17r 67 + 17r = 0 Solving 67 + 17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + 17r = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 17r = 0 + -67 17r = 0 + -67 Combine like terms: 0 + -67 = -67 17r = -67 Divide each side by '17'. r = -3.941176471 Simplifying r = -3.941176471
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