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Simplifying 12r = 8 + 2(5r + 3) Reorder the terms: 12r = 8 + 2(3 + 5r) 12r = 8 + (3 * 2 + 5r * 2) 12r = 8 + (6 + 10r) Combine like terms: 8 + 6 = 14 12r = 14 + 10r Solving 12r = 14 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 12r + -10r = 14 + 10r + -10r Combine like terms: 12r + -10r = 2r 2r = 14 + 10r + -10r Combine like terms: 10r + -10r = 0 2r = 14 + 0 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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