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Simplifying 8 + 3(1 + 4r) = 107 8 + (1 * 3 + 4r * 3) = 107 8 + (3 + 12r) = 107 Combine like terms: 8 + 3 = 11 11 + 12r = 107 Solving 11 + 12r = 107 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12r = 107 + -11 Combine like terms: 11 + -11 = 0 0 + 12r = 107 + -11 12r = 107 + -11 Combine like terms: 107 + -11 = 96 12r = 96 Divide each side by '12'. r = 8 Simplifying r = 8
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