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Simplifying 3 + 9r + -1 = 7r + 51 + -5r Reorder the terms: 3 + -1 + 9r = 7r + 51 + -5r Combine like terms: 3 + -1 = 2 2 + 9r = 7r + 51 + -5r Reorder the terms: 2 + 9r = 51 + 7r + -5r Combine like terms: 7r + -5r = 2r 2 + 9r = 51 + 2r Solving 2 + 9r = 51 + 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. 2 + 9r + -2r = 51 + 2r + -2r Combine like terms: 9r + -2r = 7r 2 + 7r = 51 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 7r = 51 + 0 2 + 7r = 51 Add '-2' to each side of the equation. 2 + -2 + 7r = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 7r = 51 + -2 7r = 51 + -2 Combine like terms: 51 + -2 = 49 7r = 49 Divide each side by '7'. r = 7 Simplifying r = 7
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