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Simplifying 3x + 4 + 2r + 5 = 34 Reorder the terms: 4 + 5 + 2r + 3x = 34 Combine like terms: 4 + 5 = 9 9 + 2r + 3x = 34 Solving 9 + 2r + 3x = 34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2r + -9 + 3x = 34 + -9 Reorder the terms: 9 + -9 + 2r + 3x = 34 + -9 Combine like terms: 9 + -9 = 0 0 + 2r + 3x = 34 + -9 2r + 3x = 34 + -9 Combine like terms: 34 + -9 = 25 2r + 3x = 25 Add '-3x' to each side of the equation. 2r + 3x + -3x = 25 + -3x Combine like terms: 3x + -3x = 0 2r + 0 = 25 + -3x 2r = 25 + -3x Divide each side by '2'. r = 12.5 + -1.5x Simplifying r = 12.5 + -1.5x
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