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Simplifying 8 + 2r = 1 + -1r + -8 + -6 Reorder the terms: 8 + 2r = 1 + -8 + -6 + -1r Combine like terms: 1 + -8 = -7 8 + 2r = -7 + -6 + -1r Combine like terms: -7 + -6 = -13 8 + 2r = -13 + -1r Solving 8 + 2r = -13 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 8 + 2r + r = -13 + -1r + r Combine like terms: 2r + r = 3r 8 + 3r = -13 + -1r + r Combine like terms: -1r + r = 0 8 + 3r = -13 + 0 8 + 3r = -13 Add '-8' to each side of the equation. 8 + -8 + 3r = -13 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = -13 + -8 3r = -13 + -8 Combine like terms: -13 + -8 = -21 3r = -21 Divide each side by '3'. r = -7 Simplifying r = -7
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