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Simplifying 30 = -7.5(w + -4.2) Reorder the terms: 30 = -7.5(-4.2 + w) 30 = (-4.2 * -7.5 + w * -7.5) 30 = (31.5 + -7.5w) Solving 30 = 31.5 + -7.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7.5w' to each side of the equation. 30 + 7.5w = 31.5 + -7.5w + 7.5w Combine like terms: -7.5w + 7.5w = 0.0 30 + 7.5w = 31.5 + 0.0 30 + 7.5w = 31.5 Add '-30' to each side of the equation. 30 + -30 + 7.5w = 31.5 + -30 Combine like terms: 30 + -30 = 0 0 + 7.5w = 31.5 + -30 7.5w = 31.5 + -30 Combine like terms: 31.5 + -30 = 1.5 7.5w = 1.5 Divide each side by '7.5'. w = 0.2 Simplifying w = 0.2
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