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