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Simplifying 12 = -4w + 2(w + -2) Reorder the terms: 12 = -4w + 2(-2 + w) 12 = -4w + (-2 * 2 + w * 2) 12 = -4w + (-4 + 2w) Reorder the terms: 12 = -4 + -4w + 2w Combine like terms: -4w + 2w = -2w 12 = -4 + -2w Solving 12 = -4 + -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 = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 2w = -4 + 0 12 + 2w = -4 Add '-12' to each side of the equation. 12 + -12 + 2w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = -4 + -12 2w = -4 + -12 Combine like terms: -4 + -12 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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