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Simplifying 10(w + -4) = 4(w + 4) + w Reorder the terms: 10(-4 + w) = 4(w + 4) + w (-4 * 10 + w * 10) = 4(w + 4) + w (-40 + 10w) = 4(w + 4) + w Reorder the terms: -40 + 10w = 4(4 + w) + w -40 + 10w = (4 * 4 + w * 4) + w -40 + 10w = (16 + 4w) + w Combine like terms: 4w + w = 5w -40 + 10w = 16 + 5w Solving -40 + 10w = 16 + 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. -40 + 10w + -5w = 16 + 5w + -5w Combine like terms: 10w + -5w = 5w -40 + 5w = 16 + 5w + -5w Combine like terms: 5w + -5w = 0 -40 + 5w = 16 + 0 -40 + 5w = 16 Add '40' to each side of the equation. -40 + 40 + 5w = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 5w = 16 + 40 5w = 16 + 40 Combine like terms: 16 + 40 = 56 5w = 56 Divide each side by '5'. w = 11.2 Simplifying w = 11.2
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