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Simplifying (3 + w) * 4 = 15 + -1w Reorder the terms for easier multiplication: 4(3 + w) = 15 + -1w (3 * 4 + w * 4) = 15 + -1w (12 + 4w) = 15 + -1w Solving 12 + 4w = 15 + -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. 12 + 4w + w = 15 + -1w + w Combine like terms: 4w + w = 5w 12 + 5w = 15 + -1w + w Combine like terms: -1w + w = 0 12 + 5w = 15 + 0 12 + 5w = 15 Add '-12' to each side of the equation. 12 + -12 + 5w = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 15 + -12 5w = 15 + -12 Combine like terms: 15 + -12 = 3 5w = 3 Divide each side by '5'. w = 0.6 Simplifying w = 0.6
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