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Simplifying 2(7 + -7r) + -6 = -34 + -8r (7 * 2 + -7r * 2) + -6 = -34 + -8r (14 + -14r) + -6 = -34 + -8r Reorder the terms: 14 + -6 + -14r = -34 + -8r Combine like terms: 14 + -6 = 8 8 + -14r = -34 + -8r Solving 8 + -14r = -34 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 8 + -14r + 8r = -34 + -8r + 8r Combine like terms: -14r + 8r = -6r 8 + -6r = -34 + -8r + 8r Combine like terms: -8r + 8r = 0 8 + -6r = -34 + 0 8 + -6r = -34 Add '-8' to each side of the equation. 8 + -8 + -6r = -34 + -8 Combine like terms: 8 + -8 = 0 0 + -6r = -34 + -8 -6r = -34 + -8 Combine like terms: -34 + -8 = -42 -6r = -42 Divide each side by '-6'. r = 7 Simplifying r = 7
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