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Simplifying w = 100 + -2(5 + 2w) w = 100 + (5 * -2 + 2w * -2) w = 100 + (-10 + -4w) Combine like terms: 100 + -10 = 90 w = 90 + -4w Solving w = 90 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. w + 4w = 90 + -4w + 4w Combine like terms: w + 4w = 5w 5w = 90 + -4w + 4w Combine like terms: -4w + 4w = 0 5w = 90 + 0 5w = 90 Divide each side by '5'. w = 18 Simplifying w = 18
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