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