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Simplifying -5(7r + -2) = 290 Reorder the terms: -5(-2 + 7r) = 290 (-2 * -5 + 7r * -5) = 290 (10 + -35r) = 290 Solving 10 + -35r = 290 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -35r = 290 + -10 Combine like terms: 10 + -10 = 0 0 + -35r = 290 + -10 -35r = 290 + -10 Combine like terms: 290 + -10 = 280 -35r = 280 Divide each side by '-35'. r = -8 Simplifying r = -8
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