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Simplifying 5r + 14 + 3r = 38 + 2r Reorder the terms: 14 + 5r + 3r = 38 + 2r Combine like terms: 5r + 3r = 8r 14 + 8r = 38 + 2r Solving 14 + 8r = 38 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 14 + 8r + -2r = 38 + 2r + -2r Combine like terms: 8r + -2r = 6r 14 + 6r = 38 + 2r + -2r Combine like terms: 2r + -2r = 0 14 + 6r = 38 + 0 14 + 6r = 38 Add '-14' to each side of the equation. 14 + -14 + 6r = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 6r = 38 + -14 6r = 38 + -14 Combine like terms: 38 + -14 = 24 6r = 24 Divide each side by '6'. r = 4 Simplifying r = 4
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