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Simplifying 12w + 4(6 + -1w) = 2w + 60 12w + (6 * 4 + -1w * 4) = 2w + 60 12w + (24 + -4w) = 2w + 60 Reorder the terms: 24 + 12w + -4w = 2w + 60 Combine like terms: 12w + -4w = 8w 24 + 8w = 2w + 60 Reorder the terms: 24 + 8w = 60 + 2w Solving 24 + 8w = 60 + 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 + 8w + -2w = 60 + 2w + -2w Combine like terms: 8w + -2w = 6w 24 + 6w = 60 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + 6w = 60 + 0 24 + 6w = 60 Add '-24' to each side of the equation. 24 + -24 + 6w = 60 + -24 Combine like terms: 24 + -24 = 0 0 + 6w = 60 + -24 6w = 60 + -24 Combine like terms: 60 + -24 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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