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Simplifying -8r + 26 = -2(8 + 7r) Reorder the terms: 26 + -8r = -2(8 + 7r) 26 + -8r = (8 * -2 + 7r * -2) 26 + -8r = (-16 + -14r) Solving 26 + -8r = -16 + -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. 26 + -8r + 14r = -16 + -14r + 14r Combine like terms: -8r + 14r = 6r 26 + 6r = -16 + -14r + 14r Combine like terms: -14r + 14r = 0 26 + 6r = -16 + 0 26 + 6r = -16 Add '-26' to each side of the equation. 26 + -26 + 6r = -16 + -26 Combine like terms: 26 + -26 = 0 0 + 6r = -16 + -26 6r = -16 + -26 Combine like terms: -16 + -26 = -42 6r = -42 Divide each side by '6'. r = -7 Simplifying r = -7
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