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Simplifying -1r + (3 + 6r) = 9 + 3r Remove parenthesis around (3 + 6r) -1r + 3 + 6r = 9 + 3r Reorder the terms: 3 + -1r + 6r = 9 + 3r Combine like terms: -1r + 6r = 5r 3 + 5r = 9 + 3r Solving 3 + 5r = 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. 3 + 5r + -3r = 9 + 3r + -3r Combine like terms: 5r + -3r = 2r 3 + 2r = 9 + 3r + -3r Combine like terms: 3r + -3r = 0 3 + 2r = 9 + 0 3 + 2r = 9 Add '-3' to each side of the equation. 3 + -3 + 2r = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 9 + -3 2r = 9 + -3 Combine like terms: 9 + -3 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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