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Simplifying 10 + -1r + -2 = 2r + -10 Reorder the terms: 10 + -2 + -1r = 2r + -10 Combine like terms: 10 + -2 = 8 8 + -1r = 2r + -10 Reorder the terms: 8 + -1r = -10 + 2r Solving 8 + -1r = -10 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 8 + -1r + -2r = -10 + 2r + -2r Combine like terms: -1r + -2r = -3r 8 + -3r = -10 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + -3r = -10 + 0 8 + -3r = -10 Add '-8' to each side of the equation. 8 + -8 + -3r = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3r = -10 + -8 -3r = -10 + -8 Combine like terms: -10 + -8 = -18 -3r = -18 Divide each side by '-3'. r = 6 Simplifying r = 6
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