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Simplifying 8w + 44 = 4(w + 3) Reorder the terms: 44 + 8w = 4(w + 3) Reorder the terms: 44 + 8w = 4(3 + w) 44 + 8w = (3 * 4 + w * 4) 44 + 8w = (12 + 4w) Solving 44 + 8w = 12 + 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. 44 + 8w + -4w = 12 + 4w + -4w Combine like terms: 8w + -4w = 4w 44 + 4w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 44 + 4w = 12 + 0 44 + 4w = 12 Add '-44' to each side of the equation. 44 + -44 + 4w = 12 + -44 Combine like terms: 44 + -44 = 0 0 + 4w = 12 + -44 4w = 12 + -44 Combine like terms: 12 + -44 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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