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Simplifying -5(w + -3) = 46 Reorder the terms: -5(-3 + w) = 46 (-3 * -5 + w * -5) = 46 (15 + -5w) = 46 Solving 15 + -5w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -5w = 46 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = 46 + -15 -5w = 46 + -15 Combine like terms: 46 + -15 = 31 -5w = 31 Divide each side by '-5'. w = -6.2 Simplifying w = -6.2
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