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Simplifying 4(w + 2) = 28w Reorder the terms: 4(2 + w) = 28w (2 * 4 + w * 4) = 28w (8 + 4w) = 28w Solving 8 + 4w = 28w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28w' to each side of the equation. 8 + 4w + -28w = 28w + -28w Combine like terms: 4w + -28w = -24w 8 + -24w = 28w + -28w Combine like terms: 28w + -28w = 0 8 + -24w = 0 Add '-8' to each side of the equation. 8 + -8 + -24w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -24w = 0 + -8 -24w = 0 + -8 Combine like terms: 0 + -8 = -8 -24w = -8 Divide each side by '-24'. w = 0.3333333333 Simplifying w = 0.3333333333
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