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Simplifying 3 + -1(r + -1) = 2(r + 1) + -1r Reorder the terms: 3 + -1(-1 + r) = 2(r + 1) + -1r 3 + (-1 * -1 + r * -1) = 2(r + 1) + -1r 3 + (1 + -1r) = 2(r + 1) + -1r Combine like terms: 3 + 1 = 4 4 + -1r = 2(r + 1) + -1r Reorder the terms: 4 + -1r = 2(1 + r) + -1r 4 + -1r = (1 * 2 + r * 2) + -1r 4 + -1r = (2 + 2r) + -1r Combine like terms: 2r + -1r = 1r 4 + -1r = 2 + 1r Solving 4 + -1r = 2 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 4 + -1r + -1r = 2 + 1r + -1r Combine like terms: -1r + -1r = -2r 4 + -2r = 2 + 1r + -1r Combine like terms: 1r + -1r = 0 4 + -2r = 2 + 0 4 + -2r = 2 Add '-4' to each side of the equation. 4 + -4 + -2r = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = 2 + -4 -2r = 2 + -4 Combine like terms: 2 + -4 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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