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Simplifying 19 = -5w + 3(w + 3) Reorder the terms: 19 = -5w + 3(3 + w) 19 = -5w + (3 * 3 + w * 3) 19 = -5w + (9 + 3w) Reorder the terms: 19 = 9 + -5w + 3w Combine like terms: -5w + 3w = -2w 19 = 9 + -2w Solving 19 = 9 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 19 + 2w = 9 + -2w + 2w Combine like terms: -2w + 2w = 0 19 + 2w = 9 + 0 19 + 2w = 9 Add '-19' to each side of the equation. 19 + -19 + 2w = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 2w = 9 + -19 2w = 9 + -19 Combine like terms: 9 + -19 = -10 2w = -10 Divide each side by '2'. w = -5 Simplifying w = -5
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