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Simplifying -5(7r + 5) = 31 + -7r Reorder the terms: -5(5 + 7r) = 31 + -7r (5 * -5 + 7r * -5) = 31 + -7r (-25 + -35r) = 31 + -7r Solving -25 + -35r = 31 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -25 + -35r + 7r = 31 + -7r + 7r Combine like terms: -35r + 7r = -28r -25 + -28r = 31 + -7r + 7r Combine like terms: -7r + 7r = 0 -25 + -28r = 31 + 0 -25 + -28r = 31 Add '25' to each side of the equation. -25 + 25 + -28r = 31 + 25 Combine like terms: -25 + 25 = 0 0 + -28r = 31 + 25 -28r = 31 + 25 Combine like terms: 31 + 25 = 56 -28r = 56 Divide each side by '-28'. r = -2 Simplifying r = -2
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