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Simplifying 3 + -1(2w + 1) + -2(w + -2) = 5 Reorder the terms: 3 + -1(1 + 2w) + -2(w + -2) = 5 3 + (1 * -1 + 2w * -1) + -2(w + -2) = 5 3 + (-1 + -2w) + -2(w + -2) = 5 Reorder the terms: 3 + -1 + -2w + -2(-2 + w) = 5 3 + -1 + -2w + (-2 * -2 + w * -2) = 5 3 + -1 + -2w + (4 + -2w) = 5 Reorder the terms: 3 + -1 + 4 + -2w + -2w = 5 Combine like terms: 3 + -1 = 2 2 + 4 + -2w + -2w = 5 Combine like terms: 2 + 4 = 6 6 + -2w + -2w = 5 Combine like terms: -2w + -2w = -4w 6 + -4w = 5 Solving 6 + -4w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -4w = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -4w = 5 + -6 -4w = 5 + -6 Combine like terms: 5 + -6 = -1 -4w = -1 Divide each side by '-4'. w = 0.25 Simplifying w = 0.25
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