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