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Simplifying -10(8r + 9) + 9(6r + 6) = 0 Reorder the terms: -10(9 + 8r) + 9(6r + 6) = 0 (9 * -10 + 8r * -10) + 9(6r + 6) = 0 (-90 + -80r) + 9(6r + 6) = 0 Reorder the terms: -90 + -80r + 9(6 + 6r) = 0 -90 + -80r + (6 * 9 + 6r * 9) = 0 -90 + -80r + (54 + 54r) = 0 Reorder the terms: -90 + 54 + -80r + 54r = 0 Combine like terms: -90 + 54 = -36 -36 + -80r + 54r = 0 Combine like terms: -80r + 54r = -26r -36 + -26r = 0 Solving -36 + -26r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -26r = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -26r = 0 + 36 -26r = 0 + 36 Combine like terms: 0 + 36 = 36 -26r = 36 Divide each side by '-26'. r = -1.384615385 Simplifying r = -1.384615385
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