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Simplifying 4(w + 3) + 8 = 84 Reorder the terms: 4(3 + w) + 8 = 84 (3 * 4 + w * 4) + 8 = 84 (12 + 4w) + 8 = 84 Reorder the terms: 12 + 8 + 4w = 84 Combine like terms: 12 + 8 = 20 20 + 4w = 84 Solving 20 + 4w = 84 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4w = 84 + -20 Combine like terms: 20 + -20 = 0 0 + 4w = 84 + -20 4w = 84 + -20 Combine like terms: 84 + -20 = 64 4w = 64 Divide each side by '4'. w = 16 Simplifying w = 16
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