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Simplifying 48 = 4(w + 8) Reorder the terms: 48 = 4(8 + w) 48 = (8 * 4 + w * 4) 48 = (32 + 4w) Solving 48 = 32 + 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 + -4w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 48 + -4w = 32 + 0 48 + -4w = 32 Add '-48' to each side of the equation. 48 + -48 + -4w = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -4w = 32 + -48 -4w = 32 + -48 Combine like terms: 32 + -48 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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