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Simplifying -4(3 + -1w) = -1w + -12 + 3w (3 * -4 + -1w * -4) = -1w + -12 + 3w (-12 + 4w) = -1w + -12 + 3w Reorder the terms: -12 + 4w = -12 + -1w + 3w Combine like terms: -1w + 3w = 2w -12 + 4w = -12 + 2w Add '12' to each side of the equation. -12 + 12 + 4w = -12 + 12 + 2w Combine like terms: -12 + 12 = 0 0 + 4w = -12 + 12 + 2w 4w = -12 + 12 + 2w Combine like terms: -12 + 12 = 0 4w = 0 + 2w 4w = 2w Solving 4w = 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. 4w + -2w = 2w + -2w Combine like terms: 4w + -2w = 2w 2w = 2w + -2w Combine like terms: 2w + -2w = 0 2w = 0 Divide each side by '2'. w = 0 Simplifying w = 0
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