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Simplifying 2(w + 4) + -7w = 38 Reorder the terms: 2(4 + w) + -7w = 38 (4 * 2 + w * 2) + -7w = 38 (8 + 2w) + -7w = 38 Combine like terms: 2w + -7w = -5w 8 + -5w = 38 Solving 8 + -5w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5w = 38 + -8 Combine like terms: 8 + -8 = 0 0 + -5w = 38 + -8 -5w = 38 + -8 Combine like terms: 38 + -8 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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