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Simplifying -4 + 5(w + -3) + -2w = 2 Reorder the terms: -4 + 5(-3 + w) + -2w = 2 -4 + (-3 * 5 + w * 5) + -2w = 2 -4 + (-15 + 5w) + -2w = 2 Combine like terms: -4 + -15 = -19 -19 + 5w + -2w = 2 Combine like terms: 5w + -2w = 3w -19 + 3w = 2 Solving -19 + 3w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3w = 2 + 19 Combine like terms: -19 + 19 = 0 0 + 3w = 2 + 19 3w = 2 + 19 Combine like terms: 2 + 19 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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