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Simplifying 2w + -4(w + -5) = 4(w + -6) Reorder the terms: 2w + -4(-5 + w) = 4(w + -6) 2w + (-5 * -4 + w * -4) = 4(w + -6) 2w + (20 + -4w) = 4(w + -6) Reorder the terms: 20 + 2w + -4w = 4(w + -6) Combine like terms: 2w + -4w = -2w 20 + -2w = 4(w + -6) Reorder the terms: 20 + -2w = 4(-6 + w) 20 + -2w = (-6 * 4 + w * 4) 20 + -2w = (-24 + 4w) Solving 20 + -2w = -24 + 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. 20 + -2w + -4w = -24 + 4w + -4w Combine like terms: -2w + -4w = -6w 20 + -6w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 20 + -6w = -24 + 0 20 + -6w = -24 Add '-20' to each side of the equation. 20 + -20 + -6w = -24 + -20 Combine like terms: 20 + -20 = 0 0 + -6w = -24 + -20 -6w = -24 + -20 Combine like terms: -24 + -20 = -44 -6w = -44 Divide each side by '-6'. w = 7.333333333 Simplifying w = 7.333333333
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