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Simplifying 7w + 48 = 4(w + 6) Reorder the terms: 48 + 7w = 4(w + 6) Reorder the terms: 48 + 7w = 4(6 + w) 48 + 7w = (6 * 4 + w * 4) 48 + 7w = (24 + 4w) Solving 48 + 7w = 24 + 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. 48 + 7w + -4w = 24 + 4w + -4w Combine like terms: 7w + -4w = 3w 48 + 3w = 24 + 4w + -4w Combine like terms: 4w + -4w = 0 48 + 3w = 24 + 0 48 + 3w = 24 Add '-48' to each side of the equation. 48 + -48 + 3w = 24 + -48 Combine like terms: 48 + -48 = 0 0 + 3w = 24 + -48 3w = 24 + -48 Combine like terms: 24 + -48 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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