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Simplifying -31 = 2(7r + 5) Reorder the terms: -31 = 2(5 + 7r) -31 = (5 * 2 + 7r * 2) -31 = (10 + 14r) Solving -31 = 10 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -31 + -14r = 10 + 14r + -14r Combine like terms: 14r + -14r = 0 -31 + -14r = 10 + 0 -31 + -14r = 10 Add '31' to each side of the equation. -31 + 31 + -14r = 10 + 31 Combine like terms: -31 + 31 = 0 0 + -14r = 10 + 31 -14r = 10 + 31 Combine like terms: 10 + 31 = 41 -14r = 41 Divide each side by '-14'. r = -2.928571429 Simplifying r = -2.928571429
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