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Simplifying 38 = -8w + 5(w + 7) Reorder the terms: 38 = -8w + 5(7 + w) 38 = -8w + (7 * 5 + w * 5) 38 = -8w + (35 + 5w) Reorder the terms: 38 = 35 + -8w + 5w Combine like terms: -8w + 5w = -3w 38 = 35 + -3w Solving 38 = 35 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 38 + 3w = 35 + -3w + 3w Combine like terms: -3w + 3w = 0 38 + 3w = 35 + 0 38 + 3w = 35 Add '-38' to each side of the equation. 38 + -38 + 3w = 35 + -38 Combine like terms: 38 + -38 = 0 0 + 3w = 35 + -38 3w = 35 + -38 Combine like terms: 35 + -38 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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