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