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Simplifying -9 + 5r = 9 + 2r + 6 Reorder the terms: -9 + 5r = 9 + 6 + 2r Combine like terms: 9 + 6 = 15 -9 + 5r = 15 + 2r Solving -9 + 5r = 15 + 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. -9 + 5r + -2r = 15 + 2r + -2r Combine like terms: 5r + -2r = 3r -9 + 3r = 15 + 2r + -2r Combine like terms: 2r + -2r = 0 -9 + 3r = 15 + 0 -9 + 3r = 15 Add '9' to each side of the equation. -9 + 9 + 3r = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 3r = 15 + 9 3r = 15 + 9 Combine like terms: 15 + 9 = 24 3r = 24 Divide each side by '3'. r = 8 Simplifying r = 8
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