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Simplifying 65 = 5(1 + 6r) + 30 65 = (1 * 5 + 6r * 5) + 30 65 = (5 + 30r) + 30 Reorder the terms: 65 = 5 + 30 + 30r Combine like terms: 5 + 30 = 35 65 = 35 + 30r Solving 65 = 35 + 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. 65 + -30r = 35 + 30r + -30r Combine like terms: 30r + -30r = 0 65 + -30r = 35 + 0 65 + -30r = 35 Add '-65' to each side of the equation. 65 + -65 + -30r = 35 + -65 Combine like terms: 65 + -65 = 0 0 + -30r = 35 + -65 -30r = 35 + -65 Combine like terms: 35 + -65 = -30 -30r = -30 Divide each side by '-30'. r = 1 Simplifying r = 1
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