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Simplifying 6 = 2(w + -7) + -4w Reorder the terms: 6 = 2(-7 + w) + -4w 6 = (-7 * 2 + w * 2) + -4w 6 = (-14 + 2w) + -4w Combine like terms: 2w + -4w = -2w 6 = -14 + -2w Solving 6 = -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. 6 + 2w = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + 2w = -14 + 0 6 + 2w = -14 Add '-6' to each side of the equation. 6 + -6 + 2w = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 2w = -14 + -6 2w = -14 + -6 Combine like terms: -14 + -6 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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