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Simplifying 5r + -9 = 7 + -3r + 6r Reorder the terms: -9 + 5r = 7 + -3r + 6r Combine like terms: -3r + 6r = 3r -9 + 5r = 7 + 3r Solving -9 + 5r = 7 + 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. -9 + 5r + -3r = 7 + 3r + -3r Combine like terms: 5r + -3r = 2r -9 + 2r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 -9 + 2r = 7 + 0 -9 + 2r = 7 Add '9' to each side of the equation. -9 + 9 + 2r = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2r = 7 + 9 2r = 7 + 9 Combine like terms: 7 + 9 = 16 2r = 16 Divide each side by '2'. r = 8 Simplifying r = 8
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