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Simplifying 6(2r + 5) = 78 Reorder the terms: 6(5 + 2r) = 78 (5 * 6 + 2r * 6) = 78 (30 + 12r) = 78 Solving 30 + 12r = 78 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12r = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 12r = 78 + -30 12r = 78 + -30 Combine like terms: 78 + -30 = 48 12r = 48 Divide each side by '12'. r = 4 Simplifying r = 4
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