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Simplifying 462 = 2w + 2(2w + -5) Reorder the terms: 462 = 2w + 2(-5 + 2w) 462 = 2w + (-5 * 2 + 2w * 2) 462 = 2w + (-10 + 4w) Reorder the terms: 462 = -10 + 2w + 4w Combine like terms: 2w + 4w = 6w 462 = -10 + 6w Solving 462 = -10 + 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. 462 + -6w = -10 + 6w + -6w Combine like terms: 6w + -6w = 0 462 + -6w = -10 + 0 462 + -6w = -10 Add '-462' to each side of the equation. 462 + -462 + -6w = -10 + -462 Combine like terms: 462 + -462 = 0 0 + -6w = -10 + -462 -6w = -10 + -462 Combine like terms: -10 + -462 = -472 -6w = -472 Divide each side by '-6'. w = 78.66666667 Simplifying w = 78.66666667
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