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Simplifying 7(w + 8) + -4w = 38 Reorder the terms: 7(8 + w) + -4w = 38 (8 * 7 + w * 7) + -4w = 38 (56 + 7w) + -4w = 38 Combine like terms: 7w + -4w = 3w 56 + 3w = 38 Solving 56 + 3w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 3w = 38 + -56 Combine like terms: 56 + -56 = 0 0 + 3w = 38 + -56 3w = 38 + -56 Combine like terms: 38 + -56 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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