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Simplifying 4(w + 1) = -8w + -44 Reorder the terms: 4(1 + w) = -8w + -44 (1 * 4 + w * 4) = -8w + -44 (4 + 4w) = -8w + -44 Reorder the terms: 4 + 4w = -44 + -8w Solving 4 + 4w = -44 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 4 + 4w + 8w = -44 + -8w + 8w Combine like terms: 4w + 8w = 12w 4 + 12w = -44 + -8w + 8w Combine like terms: -8w + 8w = 0 4 + 12w = -44 + 0 4 + 12w = -44 Add '-4' to each side of the equation. 4 + -4 + 12w = -44 + -4 Combine like terms: 4 + -4 = 0 0 + 12w = -44 + -4 12w = -44 + -4 Combine like terms: -44 + -4 = -48 12w = -48 Divide each side by '12'. w = -4 Simplifying w = -4
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