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Simplifying 9 = 5 + -2(3w + -2) Reorder the terms: 9 = 5 + -2(-2 + 3w) 9 = 5 + (-2 * -2 + 3w * -2) 9 = 5 + (4 + -6w) Combine like terms: 5 + 4 = 9 9 = 9 + -6w Add '-9' to each side of the equation. 9 + -9 = 9 + -9 + -6w Combine like terms: 9 + -9 = 0 0 = 9 + -9 + -6w Combine like terms: 9 + -9 = 0 0 = 0 + -6w 0 = -6w Solving 0 = -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. 0 + 6w = -6w + 6w Remove the zero: 6w = -6w + 6w Combine like terms: -6w + 6w = 0 6w = 0 Divide each side by '6'. w = 0 Simplifying w = 0
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