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Simplifying 5(1 + -7r) = -34 (1 * 5 + -7r * 5) = -34 (5 + -35r) = -34 Solving 5 + -35r = -34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -35r = -34 + -5 Combine like terms: 5 + -5 = 0 0 + -35r = -34 + -5 -35r = -34 + -5 Combine like terms: -34 + -5 = -39 -35r = -39 Divide each side by '-35'. r = 1.114285714 Simplifying r = 1.114285714
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