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Simplifying 3 + 3r + -2 = 9r + 9 + -4r Reorder the terms: 3 + -2 + 3r = 9r + 9 + -4r Combine like terms: 3 + -2 = 1 1 + 3r = 9r + 9 + -4r Reorder the terms: 1 + 3r = 9 + 9r + -4r Combine like terms: 9r + -4r = 5r 1 + 3r = 9 + 5r Solving 1 + 3r = 9 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 1 + 3r + -5r = 9 + 5r + -5r Combine like terms: 3r + -5r = -2r 1 + -2r = 9 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -2r = 9 + 0 1 + -2r = 9 Add '-1' to each side of the equation. 1 + -1 + -2r = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 9 + -1 -2r = 9 + -1 Combine like terms: 9 + -1 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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