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Simplifying 14 = -4w + 2(w + -3) Reorder the terms: 14 = -4w + 2(-3 + w) 14 = -4w + (-3 * 2 + w * 2) 14 = -4w + (-6 + 2w) Reorder the terms: 14 = -6 + -4w + 2w Combine like terms: -4w + 2w = -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 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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