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Simplifying 4 + 3r + -1 = 9r + 11 + -4r Reorder the terms: 4 + -1 + 3r = 9r + 11 + -4r Combine like terms: 4 + -1 = 3 3 + 3r = 9r + 11 + -4r Reorder the terms: 3 + 3r = 11 + 9r + -4r Combine like terms: 9r + -4r = 5r 3 + 3r = 11 + 5r Solving 3 + 3r = 11 + 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. 3 + 3r + -5r = 11 + 5r + -5r Combine like terms: 3r + -5r = -2r 3 + -2r = 11 + 5r + -5r Combine like terms: 5r + -5r = 0 3 + -2r = 11 + 0 3 + -2r = 11 Add '-3' to each side of the equation. 3 + -3 + -2r = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 11 + -3 -2r = 11 + -3 Combine like terms: 11 + -3 = 8 -2r = 8 Divide each side by '-2'. r = -4 Simplifying r = -4
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