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