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Simplifying 9(-1r + 14) = 14 + -20r + 18r Reorder the terms: 9(14 + -1r) = 14 + -20r + 18r (14 * 9 + -1r * 9) = 14 + -20r + 18r (126 + -9r) = 14 + -20r + 18r Combine like terms: -20r + 18r = -2r 126 + -9r = 14 + -2r Solving 126 + -9r = 14 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. 126 + -9r + 2r = 14 + -2r + 2r Combine like terms: -9r + 2r = -7r 126 + -7r = 14 + -2r + 2r Combine like terms: -2r + 2r = 0 126 + -7r = 14 + 0 126 + -7r = 14 Add '-126' to each side of the equation. 126 + -126 + -7r = 14 + -126 Combine like terms: 126 + -126 = 0 0 + -7r = 14 + -126 -7r = 14 + -126 Combine like terms: 14 + -126 = -112 -7r = -112 Divide each side by '-7'. r = 16 Simplifying r = 16
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