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Simplifying 7w + 46 = 4(w + 4) Reorder the terms: 46 + 7w = 4(w + 4) Reorder the terms: 46 + 7w = 4(4 + w) 46 + 7w = (4 * 4 + w * 4) 46 + 7w = (16 + 4w) Solving 46 + 7w = 16 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 46 + 7w + -4w = 16 + 4w + -4w Combine like terms: 7w + -4w = 3w 46 + 3w = 16 + 4w + -4w Combine like terms: 4w + -4w = 0 46 + 3w = 16 + 0 46 + 3w = 16 Add '-46' to each side of the equation. 46 + -46 + 3w = 16 + -46 Combine like terms: 46 + -46 = 0 0 + 3w = 16 + -46 3w = 16 + -46 Combine like terms: 16 + -46 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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