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Simplifying 3(w + 7) + -4 = -19 Reorder the terms: 3(7 + w) + -4 = -19 (7 * 3 + w * 3) + -4 = -19 (21 + 3w) + -4 = -19 Reorder the terms: 21 + -4 + 3w = -19 Combine like terms: 21 + -4 = 17 17 + 3w = -19 Solving 17 + 3w = -19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3w = -19 + -17 Combine like terms: 17 + -17 = 0 0 + 3w = -19 + -17 3w = -19 + -17 Combine like terms: -19 + -17 = -36 3w = -36 Divide each side by '3'. w = -12 Simplifying w = -12
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