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Simplifying 4(w + 1) = -52 + 22 Reorder the terms: 4(1 + w) = -52 + 22 (1 * 4 + w * 4) = -52 + 22 (4 + 4w) = -52 + 22 Combine like terms: -52 + 22 = -30 4 + 4w = -30 Solving 4 + 4w = -30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4w = -30 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = -30 + -4 4w = -30 + -4 Combine like terms: -30 + -4 = -34 4w = -34 Divide each side by '4'. w = -8.5 Simplifying w = -8.5
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