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Simplifying 5(w + -3) + -2w = -39 Reorder the terms: 5(-3 + w) + -2w = -39 (-3 * 5 + w * 5) + -2w = -39 (-15 + 5w) + -2w = -39 Combine like terms: 5w + -2w = 3w -15 + 3w = -39 Solving -15 + 3w = -39 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 + 3w = -39 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = -39 + 15 3w = -39 + 15 Combine like terms: -39 + 15 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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