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Simplifying 4(3 + 7r) = -1r + -17 (3 * 4 + 7r * 4) = -1r + -17 (12 + 28r) = -1r + -17 Reorder the terms: 12 + 28r = -17 + -1r Solving 12 + 28r = -17 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 12 + 28r + r = -17 + -1r + r Combine like terms: 28r + r = 29r 12 + 29r = -17 + -1r + r Combine like terms: -1r + r = 0 12 + 29r = -17 + 0 12 + 29r = -17 Add '-12' to each side of the equation. 12 + -12 + 29r = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 29r = -17 + -12 29r = -17 + -12 Combine like terms: -17 + -12 = -29 29r = -29 Divide each side by '29'. r = -1 Simplifying r = -1
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