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Simplifying 4(1 + 8r) + -7r = -14 + 7r (1 * 4 + 8r * 4) + -7r = -14 + 7r (4 + 32r) + -7r = -14 + 7r Combine like terms: 32r + -7r = 25r 4 + 25r = -14 + 7r Solving 4 + 25r = -14 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 4 + 25r + -7r = -14 + 7r + -7r Combine like terms: 25r + -7r = 18r 4 + 18r = -14 + 7r + -7r Combine like terms: 7r + -7r = 0 4 + 18r = -14 + 0 4 + 18r = -14 Add '-4' to each side of the equation. 4 + -4 + 18r = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 18r = -14 + -4 18r = -14 + -4 Combine like terms: -14 + -4 = -18 18r = -18 Divide each side by '18'. r = -1 Simplifying r = -1
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