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Simplifying 4(1 + -1r) + 3r = -2r + 2 (1 * 4 + -1r * 4) + 3r = -2r + 2 (4 + -4r) + 3r = -2r + 2 Combine like terms: -4r + 3r = -1r 4 + -1r = -2r + 2 Reorder the terms: 4 + -1r = 2 + -2r Solving 4 + -1r = 2 + -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. 4 + -1r + 2r = 2 + -2r + 2r Combine like terms: -1r + 2r = 1r 4 + 1r = 2 + -2r + 2r Combine like terms: -2r + 2r = 0 4 + 1r = 2 + 0 4 + 1r = 2 Add '-4' to each side of the equation. 4 + -4 + 1r = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = 2 + -4 1r = 2 + -4 Combine like terms: 2 + -4 = -2 1r = -2 Divide each side by '1'. r = -2 Simplifying r = -2
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