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Simplifying 2r + 9 + 7r = 4(3 + 2r) + 3 Reorder the terms: 9 + 2r + 7r = 4(3 + 2r) + 3 Combine like terms: 2r + 7r = 9r 9 + 9r = 4(3 + 2r) + 3 9 + 9r = (3 * 4 + 2r * 4) + 3 9 + 9r = (12 + 8r) + 3 Reorder the terms: 9 + 9r = 12 + 3 + 8r Combine like terms: 12 + 3 = 15 9 + 9r = 15 + 8r Solving 9 + 9r = 15 + 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. 9 + 9r + -8r = 15 + 8r + -8r Combine like terms: 9r + -8r = 1r 9 + 1r = 15 + 8r + -8r Combine like terms: 8r + -8r = 0 9 + 1r = 15 + 0 9 + 1r = 15 Add '-9' to each side of the equation. 9 + -9 + 1r = 15 + -9 Combine like terms: 9 + -9 = 0 0 + 1r = 15 + -9 1r = 15 + -9 Combine like terms: 15 + -9 = 6 1r = 6 Divide each side by '1'. r = 6 Simplifying r = 6
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