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