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Simplifying 4 + 2r + -3 = 7r + 17 + -3r Reorder the terms: 4 + -3 + 2r = 7r + 17 + -3r Combine like terms: 4 + -3 = 1 1 + 2r = 7r + 17 + -3r Reorder the terms: 1 + 2r = 17 + 7r + -3r Combine like terms: 7r + -3r = 4r 1 + 2r = 17 + 4r Solving 1 + 2r = 17 + 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. 1 + 2r + -4r = 17 + 4r + -4r Combine like terms: 2r + -4r = -2r 1 + -2r = 17 + 4r + -4r Combine like terms: 4r + -4r = 0 1 + -2r = 17 + 0 1 + -2r = 17 Add '-1' to each side of the equation. 1 + -1 + -2r = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 17 + -1 -2r = 17 + -1 Combine like terms: 17 + -1 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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