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Simplifying -6r + 3 = -2r + -1 + -8r Reorder the terms: 3 + -6r = -2r + -1 + -8r Reorder the terms: 3 + -6r = -1 + -2r + -8r Combine like terms: -2r + -8r = -10r 3 + -6r = -1 + -10r Solving 3 + -6r = -1 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 3 + -6r + 10r = -1 + -10r + 10r Combine like terms: -6r + 10r = 4r 3 + 4r = -1 + -10r + 10r Combine like terms: -10r + 10r = 0 3 + 4r = -1 + 0 3 + 4r = -1 Add '-3' to each side of the equation. 3 + -3 + 4r = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 4r = -1 + -3 4r = -1 + -3 Combine like terms: -1 + -3 = -4 4r = -4 Divide each side by '4'. r = -1 Simplifying r = -1
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