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Simplifying 9v + 9 + -3r = 6v + 2 + -8 Reorder the terms: 9 + -3r + 9v = 6v + 2 + -8 Reorder the terms: 9 + -3r + 9v = 2 + -8 + 6v Combine like terms: 2 + -8 = -6 9 + -3r + 9v = -6 + 6v Solving 9 + -3r + 9v = -6 + 6v Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -3r + -9 + 9v = -6 + -9 + 6v Reorder the terms: 9 + -9 + -3r + 9v = -6 + -9 + 6v Combine like terms: 9 + -9 = 0 0 + -3r + 9v = -6 + -9 + 6v -3r + 9v = -6 + -9 + 6v Combine like terms: -6 + -9 = -15 -3r + 9v = -15 + 6v Add '-9v' to each side of the equation. -3r + 9v + -9v = -15 + 6v + -9v Combine like terms: 9v + -9v = 0 -3r + 0 = -15 + 6v + -9v -3r = -15 + 6v + -9v Combine like terms: 6v + -9v = -3v -3r = -15 + -3v Divide each side by '-3'. r = 5 + v Simplifying r = 5 + v
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