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Simplifying 24 = 2w + 6(w + -4) Reorder the terms: 24 = 2w + 6(-4 + w) 24 = 2w + (-4 * 6 + w * 6) 24 = 2w + (-24 + 6w) Reorder the terms: 24 = -24 + 2w + 6w Combine like terms: 2w + 6w = 8w 24 = -24 + 8w Solving 24 = -24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 24 + -8w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 24 + -8w = -24 + 0 24 + -8w = -24 Add '-24' to each side of the equation. 24 + -24 + -8w = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -8w = -24 + -24 -8w = -24 + -24 Combine like terms: -24 + -24 = -48 -8w = -48 Divide each side by '-8'. w = 6 Simplifying w = 6
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