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Simplifying 17 + 5r = -8(3r + -5) + 6 Reorder the terms: 17 + 5r = -8(-5 + 3r) + 6 17 + 5r = (-5 * -8 + 3r * -8) + 6 17 + 5r = (40 + -24r) + 6 Reorder the terms: 17 + 5r = 40 + 6 + -24r Combine like terms: 40 + 6 = 46 17 + 5r = 46 + -24r Solving 17 + 5r = 46 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 17 + 5r + 24r = 46 + -24r + 24r Combine like terms: 5r + 24r = 29r 17 + 29r = 46 + -24r + 24r Combine like terms: -24r + 24r = 0 17 + 29r = 46 + 0 17 + 29r = 46 Add '-17' to each side of the equation. 17 + -17 + 29r = 46 + -17 Combine like terms: 17 + -17 = 0 0 + 29r = 46 + -17 29r = 46 + -17 Combine like terms: 46 + -17 = 29 29r = 29 Divide each side by '29'. r = 1 Simplifying r = 1
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