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Simplifying 5(w + 4) + -7w = 38 Reorder the terms: 5(4 + w) + -7w = 38 (4 * 5 + w * 5) + -7w = 38 (20 + 5w) + -7w = 38 Combine like terms: 5w + -7w = -2w 20 + -2w = 38 Solving 20 + -2w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -2w = 38 + -20 Combine like terms: 20 + -20 = 0 0 + -2w = 38 + -20 -2w = 38 + -20 Combine like terms: 38 + -20 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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