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Simplifying (5r + 8) + -1(-6r + 2) = -6r + 108 Reorder the terms: (8 + 5r) + -1(-6r + 2) = -6r + 108 Remove parenthesis around (8 + 5r) 8 + 5r + -1(-6r + 2) = -6r + 108 Reorder the terms: 8 + 5r + -1(2 + -6r) = -6r + 108 8 + 5r + (2 * -1 + -6r * -1) = -6r + 108 8 + 5r + (-2 + 6r) = -6r + 108 Reorder the terms: 8 + -2 + 5r + 6r = -6r + 108 Combine like terms: 8 + -2 = 6 6 + 5r + 6r = -6r + 108 Combine like terms: 5r + 6r = 11r 6 + 11r = -6r + 108 Reorder the terms: 6 + 11r = 108 + -6r Solving 6 + 11r = 108 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 6 + 11r + 6r = 108 + -6r + 6r Combine like terms: 11r + 6r = 17r 6 + 17r = 108 + -6r + 6r Combine like terms: -6r + 6r = 0 6 + 17r = 108 + 0 6 + 17r = 108 Add '-6' to each side of the equation. 6 + -6 + 17r = 108 + -6 Combine like terms: 6 + -6 = 0 0 + 17r = 108 + -6 17r = 108 + -6 Combine like terms: 108 + -6 = 102 17r = 102 Divide each side by '17'. r = 6 Simplifying r = 6
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