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Simplifying (w + 1) + (4w + 3) = 0 Reorder the terms: (1 + w) + (4w + 3) = 0 Remove parenthesis around (1 + w) 1 + w + (4w + 3) = 0 Reorder the terms: 1 + w + (3 + 4w) = 0 Remove parenthesis around (3 + 4w) 1 + w + 3 + 4w = 0 Reorder the terms: 1 + 3 + w + 4w = 0 Combine like terms: 1 + 3 = 4 4 + w + 4w = 0 Combine like terms: w + 4w = 5w 4 + 5w = 0 Solving 4 + 5w = 0 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 + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 0 + -4 5w = 0 + -4 Combine like terms: 0 + -4 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8
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