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Simplifying 8r + -31 = 7r + 10 Reorder the terms: -31 + 8r = 7r + 10 Reorder the terms: -31 + 8r = 10 + 7r Solving -31 + 8r = 10 + 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. -31 + 8r + -7r = 10 + 7r + -7r Combine like terms: 8r + -7r = 1r -31 + 1r = 10 + 7r + -7r Combine like terms: 7r + -7r = 0 -31 + 1r = 10 + 0 -31 + 1r = 10 Add '31' to each side of the equation. -31 + 31 + 1r = 10 + 31 Combine like terms: -31 + 31 = 0 0 + 1r = 10 + 31 1r = 10 + 31 Combine like terms: 10 + 31 = 41 1r = 41 Divide each side by '1'. r = 41 Simplifying r = 41
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