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Simplifying 10(w + -4) = 4(w + 4) + 4w Reorder the terms: 10(-4 + w) = 4(w + 4) + 4w (-4 * 10 + w * 10) = 4(w + 4) + 4w (-40 + 10w) = 4(w + 4) + 4w Reorder the terms: -40 + 10w = 4(4 + w) + 4w -40 + 10w = (4 * 4 + w * 4) + 4w -40 + 10w = (16 + 4w) + 4w Combine like terms: 4w + 4w = 8w -40 + 10w = 16 + 8w Solving -40 + 10w = 16 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -40 + 10w + -8w = 16 + 8w + -8w Combine like terms: 10w + -8w = 2w -40 + 2w = 16 + 8w + -8w Combine like terms: 8w + -8w = 0 -40 + 2w = 16 + 0 -40 + 2w = 16 Add '40' to each side of the equation. -40 + 40 + 2w = 16 + 40 Combine like terms: -40 + 40 = 0 0 + 2w = 16 + 40 2w = 16 + 40 Combine like terms: 16 + 40 = 56 2w = 56 Divide each side by '2'. w = 28 Simplifying w = 28
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