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Simplifying -5[w + -3] = 45 Reorder the terms: -5[-3 + w] = 45 [-3 * -5 + w * -5] = 45 [15 + -5w] = 45 Solving 15 + -5w = 45 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 = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = 45 + -15 -5w = 45 + -15 Combine like terms: 45 + -15 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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