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Simplifying 38 = -7w + 5(w + 8) Reorder the terms: 38 = -7w + 5(8 + w) 38 = -7w + (8 * 5 + w * 5) 38 = -7w + (40 + 5w) Reorder the terms: 38 = 40 + -7w + 5w Combine like terms: -7w + 5w = -2w 38 = 40 + -2w Solving 38 = 40 + -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 = 40 + -2w + 2w Combine like terms: -2w + 2w = 0 38 + 2w = 40 + 0 38 + 2w = 40 Add '-38' to each side of the equation. 38 + -38 + 2w = 40 + -38 Combine like terms: 38 + -38 = 0 0 + 2w = 40 + -38 2w = 40 + -38 Combine like terms: 40 + -38 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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