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Simplifying 12 = -6w + 2(w + 4) Reorder the terms: 12 = -6w + 2(4 + w) 12 = -6w + (4 * 2 + w * 2) 12 = -6w + (8 + 2w) Reorder the terms: 12 = 8 + -6w + 2w Combine like terms: -6w + 2w = -4w 12 = 8 + -4w Solving 12 = 8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 4w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 4w = 8 + 0 12 + 4w = 8 Add '-12' to each side of the equation. 12 + -12 + 4w = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 8 + -12 4w = 8 + -12 Combine like terms: 8 + -12 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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