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Simplifying 7 + 8(1 + -3r) = -17 7 + (1 * 8 + -3r * 8) = -17 7 + (8 + -24r) = -17 Combine like terms: 7 + 8 = 15 15 + -24r = -17 Solving 15 + -24r = -17 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -24r = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -24r = -17 + -15 -24r = -17 + -15 Combine like terms: -17 + -15 = -32 -24r = -32 Divide each side by '-24'. r = 1.333333333 Simplifying r = 1.333333333
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