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Simplifying 5 + 8r + -2 = 9r + 51 + -7r Reorder the terms: 5 + -2 + 8r = 9r + 51 + -7r Combine like terms: 5 + -2 = 3 3 + 8r = 9r + 51 + -7r Reorder the terms: 3 + 8r = 51 + 9r + -7r Combine like terms: 9r + -7r = 2r 3 + 8r = 51 + 2r Solving 3 + 8r = 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. 3 + 8r + -2r = 51 + 2r + -2r Combine like terms: 8r + -2r = 6r 3 + 6r = 51 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 6r = 51 + 0 3 + 6r = 51 Add '-3' to each side of the equation. 3 + -3 + 6r = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 6r = 51 + -3 6r = 51 + -3 Combine like terms: 51 + -3 = 48 6r = 48 Divide each side by '6'. r = 8 Simplifying r = 8
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