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Simplifying 9 = 8w + -1(2w + -3) Reorder the terms: 9 = 8w + -1(-3 + 2w) 9 = 8w + (-3 * -1 + 2w * -1) 9 = 8w + (3 + -2w) Reorder the terms: 9 = 3 + 8w + -2w Combine like terms: 8w + -2w = 6w 9 = 3 + 6w Solving 9 = 3 + 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. 9 + -6w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 9 + -6w = 3 + 0 9 + -6w = 3 Add '-9' to each side of the equation. 9 + -9 + -6w = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -6w = 3 + -9 -6w = 3 + -9 Combine like terms: 3 + -9 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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