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Simplifying 7 + 3r + 9 = -2r + 31 Reorder the terms: 7 + 9 + 3r = -2r + 31 Combine like terms: 7 + 9 = 16 16 + 3r = -2r + 31 Reorder the terms: 16 + 3r = 31 + -2r Solving 16 + 3r = 31 + -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. 16 + 3r + 2r = 31 + -2r + 2r Combine like terms: 3r + 2r = 5r 16 + 5r = 31 + -2r + 2r Combine like terms: -2r + 2r = 0 16 + 5r = 31 + 0 16 + 5r = 31 Add '-16' to each side of the equation. 16 + -16 + 5r = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 5r = 31 + -16 5r = 31 + -16 Combine like terms: 31 + -16 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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