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Simplifying 5r + -15 = 7r + 31 Reorder the terms: -15 + 5r = 7r + 31 Reorder the terms: -15 + 5r = 31 + 7r Solving -15 + 5r = 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. -15 + 5r + -7r = 31 + 7r + -7r Combine like terms: 5r + -7r = -2r -15 + -2r = 31 + 7r + -7r Combine like terms: 7r + -7r = 0 -15 + -2r = 31 + 0 -15 + -2r = 31 Add '15' to each side of the equation. -15 + 15 + -2r = 31 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = 31 + 15 -2r = 31 + 15 Combine like terms: 31 + 15 = 46 -2r = 46 Divide each side by '-2'. r = -23 Simplifying r = -23
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