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Simplifying 2w + -4(w + -6) = 5(w + -4) Reorder the terms: 2w + -4(-6 + w) = 5(w + -4) 2w + (-6 * -4 + w * -4) = 5(w + -4) 2w + (24 + -4w) = 5(w + -4) Reorder the terms: 24 + 2w + -4w = 5(w + -4) Combine like terms: 2w + -4w = -2w 24 + -2w = 5(w + -4) Reorder the terms: 24 + -2w = 5(-4 + w) 24 + -2w = (-4 * 5 + w * 5) 24 + -2w = (-20 + 5w) Solving 24 + -2w = -20 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 24 + -2w + -5w = -20 + 5w + -5w Combine like terms: -2w + -5w = -7w 24 + -7w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 24 + -7w = -20 + 0 24 + -7w = -20 Add '-24' to each side of the equation. 24 + -24 + -7w = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -7w = -20 + -24 -7w = -20 + -24 Combine like terms: -20 + -24 = -44 -7w = -44 Divide each side by '-7'. w = 6.285714286 Simplifying w = 6.285714286
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