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Simplifying 466 = 2w + 2(2w + -7) Reorder the terms: 466 = 2w + 2(-7 + 2w) 466 = 2w + (-7 * 2 + 2w * 2) 466 = 2w + (-14 + 4w) Reorder the terms: 466 = -14 + 2w + 4w Combine like terms: 2w + 4w = 6w 466 = -14 + 6w Solving 466 = -14 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 466 + -6w = -14 + 6w + -6w Combine like terms: 6w + -6w = 0 466 + -6w = -14 + 0 466 + -6w = -14 Add '-466' to each side of the equation. 466 + -466 + -6w = -14 + -466 Combine like terms: 466 + -466 = 0 0 + -6w = -14 + -466 -6w = -14 + -466 Combine like terms: -14 + -466 = -480 -6w = -480 Divide each side by '-6'. w = 80 Simplifying w = 80
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