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Simplifying 42w = 2(w + 7) Reorder the terms: 42w = 2(7 + w) 42w = (7 * 2 + w * 2) 42w = (14 + 2w) Solving 42w = 14 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 42w + -2w = 14 + 2w + -2w Combine like terms: 42w + -2w = 40w 40w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 40w = 14 + 0 40w = 14 Divide each side by '40'. w = 0.35 Simplifying w = 0.35
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