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Simplifying 2(3 + 5r) + 6 = 4(2r + 5) + 6 (3 * 2 + 5r * 2) + 6 = 4(2r + 5) + 6 (6 + 10r) + 6 = 4(2r + 5) + 6 Reorder the terms: 6 + 6 + 10r = 4(2r + 5) + 6 Combine like terms: 6 + 6 = 12 12 + 10r = 4(2r + 5) + 6 Reorder the terms: 12 + 10r = 4(5 + 2r) + 6 12 + 10r = (5 * 4 + 2r * 4) + 6 12 + 10r = (20 + 8r) + 6 Reorder the terms: 12 + 10r = 20 + 6 + 8r Combine like terms: 20 + 6 = 26 12 + 10r = 26 + 8r Solving 12 + 10r = 26 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 12 + 10r + -8r = 26 + 8r + -8r Combine like terms: 10r + -8r = 2r 12 + 2r = 26 + 8r + -8r Combine like terms: 8r + -8r = 0 12 + 2r = 26 + 0 12 + 2r = 26 Add '-12' to each side of the equation. 12 + -12 + 2r = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 26 + -12 2r = 26 + -12 Combine like terms: 26 + -12 = 14 2r = 14 Divide each side by '2'. r = 7 Simplifying r = 7
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