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Simplifying 3 + 2r + -1 = 7r + 18 + -3r Reorder the terms: 3 + -1 + 2r = 7r + 18 + -3r Combine like terms: 3 + -1 = 2 2 + 2r = 7r + 18 + -3r Reorder the terms: 2 + 2r = 18 + 7r + -3r Combine like terms: 7r + -3r = 4r 2 + 2r = 18 + 4r Solving 2 + 2r = 18 + 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 + 2r + -4r = 18 + 4r + -4r Combine like terms: 2r + -4r = -2r 2 + -2r = 18 + 4r + -4r Combine like terms: 4r + -4r = 0 2 + -2r = 18 + 0 2 + -2r = 18 Add '-2' to each side of the equation. 2 + -2 + -2r = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -2r = 18 + -2 -2r = 18 + -2 Combine like terms: 18 + -2 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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