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Simplifying 4(w + 2) = 5 + -1w Reorder the terms: 4(2 + w) = 5 + -1w (2 * 4 + w * 4) = 5 + -1w (8 + 4w) = 5 + -1w Solving 8 + 4w = 5 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 8 + 4w + w = 5 + -1w + w Combine like terms: 4w + w = 5w 8 + 5w = 5 + -1w + w Combine like terms: -1w + w = 0 8 + 5w = 5 + 0 8 + 5w = 5 Add '-8' to each side of the equation. 8 + -8 + 5w = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 5w = 5 + -8 5w = 5 + -8 Combine like terms: 5 + -8 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6
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