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Simplifying 2(7r + 6) = 6r + -1(r + 5) Reorder the terms: 2(6 + 7r) = 6r + -1(r + 5) (6 * 2 + 7r * 2) = 6r + -1(r + 5) (12 + 14r) = 6r + -1(r + 5) Reorder the terms: 12 + 14r = 6r + -1(5 + r) 12 + 14r = 6r + (5 * -1 + r * -1) 12 + 14r = 6r + (-5 + -1r) Reorder the terms: 12 + 14r = -5 + 6r + -1r Combine like terms: 6r + -1r = 5r 12 + 14r = -5 + 5r Solving 12 + 14r = -5 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 12 + 14r + -5r = -5 + 5r + -5r Combine like terms: 14r + -5r = 9r 12 + 9r = -5 + 5r + -5r Combine like terms: 5r + -5r = 0 12 + 9r = -5 + 0 12 + 9r = -5 Add '-12' to each side of the equation. 12 + -12 + 9r = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 9r = -5 + -12 9r = -5 + -12 Combine like terms: -5 + -12 = -17 9r = -17 Divide each side by '9'. r = -1.888888889 Simplifying r = -1.888888889
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