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Simplifying 2 = -3w + 8(w + 4) Reorder the terms: 2 = -3w + 8(4 + w) 2 = -3w + (4 * 8 + w * 8) 2 = -3w + (32 + 8w) Reorder the terms: 2 = 32 + -3w + 8w Combine like terms: -3w + 8w = 5w 2 = 32 + 5w Solving 2 = 32 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 2 + -5w = 32 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + -5w = 32 + 0 2 + -5w = 32 Add '-2' to each side of the equation. 2 + -2 + -5w = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 32 + -2 -5w = 32 + -2 Combine like terms: 32 + -2 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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