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