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Simplifying 30 = -5w + 3(w + -8) Reorder the terms: 30 = -5w + 3(-8 + w) 30 = -5w + (-8 * 3 + w * 3) 30 = -5w + (-24 + 3w) Reorder the terms: 30 = -24 + -5w + 3w Combine like terms: -5w + 3w = -2w 30 = -24 + -2w Solving 30 = -24 + -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. 30 + 2w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 30 + 2w = -24 + 0 30 + 2w = -24 Add '-30' to each side of the equation. 30 + -30 + 2w = -24 + -30 Combine like terms: 30 + -30 = 0 0 + 2w = -24 + -30 2w = -24 + -30 Combine like terms: -24 + -30 = -54 2w = -54 Divide each side by '2'. w = -27 Simplifying w = -27
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