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Simplifying 12(1 + 4r) = 6(5r + 5) (1 * 12 + 4r * 12) = 6(5r + 5) (12 + 48r) = 6(5r + 5) Reorder the terms: 12 + 48r = 6(5 + 5r) 12 + 48r = (5 * 6 + 5r * 6) 12 + 48r = (30 + 30r) Solving 12 + 48r = 30 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 12 + 48r + -30r = 30 + 30r + -30r Combine like terms: 48r + -30r = 18r 12 + 18r = 30 + 30r + -30r Combine like terms: 30r + -30r = 0 12 + 18r = 30 + 0 12 + 18r = 30 Add '-12' to each side of the equation. 12 + -12 + 18r = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 18r = 30 + -12 18r = 30 + -12 Combine like terms: 30 + -12 = 18 18r = 18 Divide each side by '18'. r = 1 Simplifying r = 1
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