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Simplifying 9(12r + 12) = -10 + -10(1 + -10r) Reorder the terms: 9(12 + 12r) = -10 + -10(1 + -10r) (12 * 9 + 12r * 9) = -10 + -10(1 + -10r) (108 + 108r) = -10 + -10(1 + -10r) 108 + 108r = -10 + (1 * -10 + -10r * -10) 108 + 108r = -10 + (-10 + 100r) Combine like terms: -10 + -10 = -20 108 + 108r = -20 + 100r Solving 108 + 108r = -20 + 100r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-100r' to each side of the equation. 108 + 108r + -100r = -20 + 100r + -100r Combine like terms: 108r + -100r = 8r 108 + 8r = -20 + 100r + -100r Combine like terms: 100r + -100r = 0 108 + 8r = -20 + 0 108 + 8r = -20 Add '-108' to each side of the equation. 108 + -108 + 8r = -20 + -108 Combine like terms: 108 + -108 = 0 0 + 8r = -20 + -108 8r = -20 + -108 Combine like terms: -20 + -108 = -128 8r = -128 Divide each side by '8'. r = -16 Simplifying r = -16
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