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Simplifying 38 = 6(w + 7) + -8w Reorder the terms: 38 = 6(7 + w) + -8w 38 = (7 * 6 + w * 6) + -8w 38 = (42 + 6w) + -8w Combine like terms: 6w + -8w = -2w 38 = 42 + -2w Solving 38 = 42 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 38 + 2w = 42 + -2w + 2w Combine like terms: -2w + 2w = 0 38 + 2w = 42 + 0 38 + 2w = 42 Add '-38' to each side of the equation. 38 + -38 + 2w = 42 + -38 Combine like terms: 38 + -38 = 0 0 + 2w = 42 + -38 2w = 42 + -38 Combine like terms: 42 + -38 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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