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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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