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Simplifying 3 + 3r + -1 = 9r + 7 + -5r Reorder the terms: 3 + -1 + 3r = 9r + 7 + -5r Combine like terms: 3 + -1 = 2 2 + 3r = 9r + 7 + -5r Reorder the terms: 2 + 3r = 7 + 9r + -5r Combine like terms: 9r + -5r = 4r 2 + 3r = 7 + 4r Solving 2 + 3r = 7 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 2 + 3r + -4r = 7 + 4r + -4r Combine like terms: 3r + -4r = -1r 2 + -1r = 7 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + -1r = 7 + 0 2 + -1r = 7 Add '-2' to each side of the equation. 2 + -2 + -1r = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 7 + -2 -1r = 7 + -2 Combine like terms: 7 + -2 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5
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