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Simplifying -9r + 4r + 9 = -3r + -3 Reorder the terms: 9 + -9r + 4r = -3r + -3 Combine like terms: -9r + 4r = -5r 9 + -5r = -3r + -3 Reorder the terms: 9 + -5r = -3 + -3r Solving 9 + -5r = -3 + -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. 9 + -5r + 3r = -3 + -3r + 3r Combine like terms: -5r + 3r = -2r 9 + -2r = -3 + -3r + 3r Combine like terms: -3r + 3r = 0 9 + -2r = -3 + 0 9 + -2r = -3 Add '-9' to each side of the equation. 9 + -9 + -2r = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = -3 + -9 -2r = -3 + -9 Combine like terms: -3 + -9 = -12 -2r = -12 Divide each side by '-2'. r = 6 Simplifying r = 6
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