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Simplifying 7 + 17r + -5 = 9r + 30 + -6r Reorder the terms: 7 + -5 + 17r = 9r + 30 + -6r Combine like terms: 7 + -5 = 2 2 + 17r = 9r + 30 + -6r Reorder the terms: 2 + 17r = 30 + 9r + -6r Combine like terms: 9r + -6r = 3r 2 + 17r = 30 + 3r Solving 2 + 17r = 30 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 2 + 17r + -3r = 30 + 3r + -3r Combine like terms: 17r + -3r = 14r 2 + 14r = 30 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 14r = 30 + 0 2 + 14r = 30 Add '-2' to each side of the equation. 2 + -2 + 14r = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 14r = 30 + -2 14r = 30 + -2 Combine like terms: 30 + -2 = 28 14r = 28 Divide each side by '14'. r = 2 Simplifying r = 2
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