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Simplifying -2w + 12 = -4(w + 2) Reorder the terms: 12 + -2w = -4(w + 2) Reorder the terms: 12 + -2w = -4(2 + w) 12 + -2w = (2 * -4 + w * -4) 12 + -2w = (-8 + -4w) Solving 12 + -2w = -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 + -2w + 4w = -8 + -4w + 4w Combine like terms: -2w + 4w = 2w 12 + 2w = -8 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 2w = -8 + 0 12 + 2w = -8 Add '-12' to each side of the equation. 12 + -12 + 2w = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = -8 + -12 2w = -8 + -12 Combine like terms: -8 + -12 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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