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Simplifying w + 3w + 4(5 + w + -3w) = 0 Combine like terms: w + -3w = -2w w + 3w + 4(5 + -2w) = 0 w + 3w + (5 * 4 + -2w * 4) = 0 w + 3w + (20 + -8w) = 0 Reorder the terms: 20 + w + 3w + -8w = 0 Combine like terms: w + 3w = 4w 20 + 4w + -8w = 0 Combine like terms: 4w + -8w = -4w 20 + -4w = 0 Solving 20 + -4w = 0 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 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4w = 0 + -20 -4w = 0 + -20 Combine like terms: 0 + -20 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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