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Simplifying 4 + 2r + -1 = 8r + 31 + -2r Reorder the terms: 4 + -1 + 2r = 8r + 31 + -2r Combine like terms: 4 + -1 = 3 3 + 2r = 8r + 31 + -2r Reorder the terms: 3 + 2r = 31 + 8r + -2r Combine like terms: 8r + -2r = 6r 3 + 2r = 31 + 6r Solving 3 + 2r = 31 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 3 + 2r + -6r = 31 + 6r + -6r Combine like terms: 2r + -6r = -4r 3 + -4r = 31 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + -4r = 31 + 0 3 + -4r = 31 Add '-3' to each side of the equation. 3 + -3 + -4r = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -4r = 31 + -3 -4r = 31 + -3 Combine like terms: 31 + -3 = 28 -4r = 28 Divide each side by '-4'. r = -7 Simplifying r = -7
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