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Simplifying 4(5 + -1w) = -1w (5 * 4 + -1w * 4) = -1w (20 + -4w) = -1w Solving 20 + -4w = -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. 20 + -4w + w = -1w + w Combine like terms: -4w + w = -3w 20 + -3w = -1w + w Combine like terms: -1w + w = 0 20 + -3w = 0 Add '-20' to each side of the equation. 20 + -20 + -3w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3w = 0 + -20 -3w = 0 + -20 Combine like terms: 0 + -20 = -20 -3w = -20 Divide each side by '-3'. w = 6.666666667 Simplifying w = 6.666666667
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