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Simplifying -6w + 24 = 2(w + 8) Reorder the terms: 24 + -6w = 2(w + 8) Reorder the terms: 24 + -6w = 2(8 + w) 24 + -6w = (8 * 2 + w * 2) 24 + -6w = (16 + 2w) Solving 24 + -6w = 16 + 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. 24 + -6w + -2w = 16 + 2w + -2w Combine like terms: -6w + -2w = -8w 24 + -8w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + -8w = 16 + 0 24 + -8w = 16 Add '-24' to each side of the equation. 24 + -24 + -8w = 16 + -24 Combine like terms: 24 + -24 = 0 0 + -8w = 16 + -24 -8w = 16 + -24 Combine like terms: 16 + -24 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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