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Simplifying 3(w + 2) + -4 = 23 Reorder the terms: 3(2 + w) + -4 = 23 (2 * 3 + w * 3) + -4 = 23 (6 + 3w) + -4 = 23 Reorder the terms: 6 + -4 + 3w = 23 Combine like terms: 6 + -4 = 2 2 + 3w = 23 Solving 2 + 3w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3w = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 3w = 23 + -2 3w = 23 + -2 Combine like terms: 23 + -2 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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