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Simplifying -12 = 2(w + -7) + -4w Reorder the terms: -12 = 2(-7 + w) + -4w -12 = (-7 * 2 + w * 2) + -4w -12 = (-14 + 2w) + -4w Combine like terms: 2w + -4w = -2w -12 = -14 + -2w Solving -12 = -14 + -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 = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 -12 + 2w = -14 + 0 -12 + 2w = -14 Add '12' to each side of the equation. -12 + 12 + 2w = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = -14 + 12 2w = -14 + 12 Combine like terms: -14 + 12 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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