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Simplifying -5(9r + 6) + 7(8r + 8) = 0 Reorder the terms: -5(6 + 9r) + 7(8r + 8) = 0 (6 * -5 + 9r * -5) + 7(8r + 8) = 0 (-30 + -45r) + 7(8r + 8) = 0 Reorder the terms: -30 + -45r + 7(8 + 8r) = 0 -30 + -45r + (8 * 7 + 8r * 7) = 0 -30 + -45r + (56 + 56r) = 0 Reorder the terms: -30 + 56 + -45r + 56r = 0 Combine like terms: -30 + 56 = 26 26 + -45r + 56r = 0 Combine like terms: -45r + 56r = 11r 26 + 11r = 0 Solving 26 + 11r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 11r = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 11r = 0 + -26 11r = 0 + -26 Combine like terms: 0 + -26 = -26 11r = -26 Divide each side by '11'. r = -2.363636364 Simplifying r = -2.363636364
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