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Simplifying 4(1 + -1w) = -1(w + 3) (1 * 4 + -1w * 4) = -1(w + 3) (4 + -4w) = -1(w + 3) Reorder the terms: 4 + -4w = -1(3 + w) 4 + -4w = (3 * -1 + w * -1) 4 + -4w = (-3 + -1w) Solving 4 + -4w = -3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 4 + -4w + w = -3 + -1w + w Combine like terms: -4w + w = -3w 4 + -3w = -3 + -1w + w Combine like terms: -1w + w = 0 4 + -3w = -3 + 0 4 + -3w = -3 Add '-4' to each side of the equation. 4 + -4 + -3w = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -3w = -3 + -4 -3w = -3 + -4 Combine like terms: -3 + -4 = -7 -3w = -7 Divide each side by '-3'. w = 2.333333333 Simplifying w = 2.333333333
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