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Simplifying 4(6 + -2w) + -7 = 60.2 (6 * 4 + -2w * 4) + -7 = 60.2 (24 + -8w) + -7 = 60.2 Reorder the terms: 24 + -7 + -8w = 60.2 Combine like terms: 24 + -7 = 17 17 + -8w = 60.2 Solving 17 + -8w = 60.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -8w = 60.2 + -17 Combine like terms: 17 + -17 = 0 0 + -8w = 60.2 + -17 -8w = 60.2 + -17 Combine like terms: 60.2 + -17 = 43.2 -8w = 43.2 Divide each side by '-8'. w = -5.4 Simplifying w = -5.4
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