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Simplifying -1(w + 3) = -4w + 14 Reorder the terms: -1(3 + w) = -4w + 14 (3 * -1 + w * -1) = -4w + 14 (-3 + -1w) = -4w + 14 Reorder the terms: -3 + -1w = 14 + -4w Solving -3 + -1w = 14 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -3 + -1w + 4w = 14 + -4w + 4w Combine like terms: -1w + 4w = 3w -3 + 3w = 14 + -4w + 4w Combine like terms: -4w + 4w = 0 -3 + 3w = 14 + 0 -3 + 3w = 14 Add '3' to each side of the equation. -3 + 3 + 3w = 14 + 3 Combine like terms: -3 + 3 = 0 0 + 3w = 14 + 3 3w = 14 + 3 Combine like terms: 14 + 3 = 17 3w = 17 Divide each side by '3'. w = 5.666666667 Simplifying w = 5.666666667
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