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Simplifying -14 = 2(w + -3) + -4w Reorder the terms: -14 = 2(-3 + w) + -4w -14 = (-3 * 2 + w * 2) + -4w -14 = (-6 + 2w) + -4w Combine like terms: 2w + -4w = -2w -14 = -6 + -2w Solving -14 = -6 + -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. -14 + 2w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 -14 + 2w = -6 + 0 -14 + 2w = -6 Add '14' to each side of the equation. -14 + 14 + 2w = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = -6 + 14 2w = -6 + 14 Combine like terms: -6 + 14 = 8 2w = 8 Divide each side by '2'. w = 4 Simplifying w = 4
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