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Simplifying 8 + (4 + -0.5w) * 3 = 8 Reorder the terms for easier multiplication: 8 + 3(4 + -0.5w) = 8 8 + (4 * 3 + -0.5w * 3) = 8 8 + (12 + -1.5w) = 8 Combine like terms: 8 + 12 = 20 20 + -1.5w = 8 Solving 20 + -1.5w = 8 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 + -1.5w = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -1.5w = 8 + -20 -1.5w = 8 + -20 Combine like terms: 8 + -20 = -12 -1.5w = -12 Divide each side by '-1.5'. w = 8 Simplifying w = 8
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