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Simplifying 462 = 2w + 2(3w + -5) Reorder the terms: 462 = 2w + 2(-5 + 3w) 462 = 2w + (-5 * 2 + 3w * 2) 462 = 2w + (-10 + 6w) Reorder the terms: 462 = -10 + 2w + 6w Combine like terms: 2w + 6w = 8w 462 = -10 + 8w Solving 462 = -10 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 462 + -8w = -10 + 8w + -8w Combine like terms: 8w + -8w = 0 462 + -8w = -10 + 0 462 + -8w = -10 Add '-462' to each side of the equation. 462 + -462 + -8w = -10 + -462 Combine like terms: 462 + -462 = 0 0 + -8w = -10 + -462 -8w = -10 + -462 Combine like terms: -10 + -462 = -472 -8w = -472 Divide each side by '-8'. w = 59 Simplifying w = 59
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