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Simplifying 36 = -8w + 5(w + 6) Reorder the terms: 36 = -8w + 5(6 + w) 36 = -8w + (6 * 5 + w * 5) 36 = -8w + (30 + 5w) Reorder the terms: 36 = 30 + -8w + 5w Combine like terms: -8w + 5w = -3w 36 = 30 + -3w Solving 36 = 30 + -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. 36 + 3w = 30 + -3w + 3w Combine like terms: -3w + 3w = 0 36 + 3w = 30 + 0 36 + 3w = 30 Add '-36' to each side of the equation. 36 + -36 + 3w = 30 + -36 Combine like terms: 36 + -36 = 0 0 + 3w = 30 + -36 3w = 30 + -36 Combine like terms: 30 + -36 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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