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Simplifying 7 + 2r + -4 = 8r + 17 + -4r Reorder the terms: 7 + -4 + 2r = 8r + 17 + -4r Combine like terms: 7 + -4 = 3 3 + 2r = 8r + 17 + -4r Reorder the terms: 3 + 2r = 17 + 8r + -4r Combine like terms: 8r + -4r = 4r 3 + 2r = 17 + 4r Solving 3 + 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. 3 + 2r + -4r = 17 + 4r + -4r Combine like terms: 2r + -4r = -2r 3 + -2r = 17 + 4r + -4r Combine like terms: 4r + -4r = 0 3 + -2r = 17 + 0 3 + -2r = 17 Add '-3' to each side of the equation. 3 + -3 + -2r = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 17 + -3 -2r = 17 + -3 Combine like terms: 17 + -3 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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