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Simplifying -7.5(w + -4.2) = 30 Reorder the terms: -7.5(-4.2 + w) = 30 (-4.2 * -7.5 + w * -7.5) = 30 (31.5 + -7.5w) = 30 Solving 31.5 + -7.5w = 30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31.5' to each side of the equation. 31.5 + -31.5 + -7.5w = 30 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + -7.5w = 30 + -31.5 -7.5w = 30 + -31.5 Combine like terms: 30 + -31.5 = -1.5 -7.5w = -1.5 Divide each side by '-7.5'. w = 0.2 Simplifying w = 0.2
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