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Simplifying -5(17r + -9) + 1 = -7(14r + 12) Reorder the terms: -5(-9 + 17r) + 1 = -7(14r + 12) (-9 * -5 + 17r * -5) + 1 = -7(14r + 12) (45 + -85r) + 1 = -7(14r + 12) Reorder the terms: 45 + 1 + -85r = -7(14r + 12) Combine like terms: 45 + 1 = 46 46 + -85r = -7(14r + 12) Reorder the terms: 46 + -85r = -7(12 + 14r) 46 + -85r = (12 * -7 + 14r * -7) 46 + -85r = (-84 + -98r) Solving 46 + -85r = -84 + -98r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '98r' to each side of the equation. 46 + -85r + 98r = -84 + -98r + 98r Combine like terms: -85r + 98r = 13r 46 + 13r = -84 + -98r + 98r Combine like terms: -98r + 98r = 0 46 + 13r = -84 + 0 46 + 13r = -84 Add '-46' to each side of the equation. 46 + -46 + 13r = -84 + -46 Combine like terms: 46 + -46 = 0 0 + 13r = -84 + -46 13r = -84 + -46 Combine like terms: -84 + -46 = -130 13r = -130 Divide each side by '13'. r = -10 Simplifying r = -10
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