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Simplifying 9 + 2r + -4 = 7r + 15 + -3r Reorder the terms: 9 + -4 + 2r = 7r + 15 + -3r Combine like terms: 9 + -4 = 5 5 + 2r = 7r + 15 + -3r Reorder the terms: 5 + 2r = 15 + 7r + -3r Combine like terms: 7r + -3r = 4r 5 + 2r = 15 + 4r Solving 5 + 2r = 15 + 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. 5 + 2r + -4r = 15 + 4r + -4r Combine like terms: 2r + -4r = -2r 5 + -2r = 15 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + -2r = 15 + 0 5 + -2r = 15 Add '-5' to each side of the equation. 5 + -5 + -2r = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 15 + -5 -2r = 15 + -5 Combine like terms: 15 + -5 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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