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Simplifying 8w + 9 = -4.5w + 1 Reorder the terms: 9 + 8w = -4.5w + 1 Reorder the terms: 9 + 8w = 1 + -4.5w Solving 9 + 8w = 1 + -4.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4.5w' to each side of the equation. 9 + 8w + 4.5w = 1 + -4.5w + 4.5w Combine like terms: 8w + 4.5w = 12.5w 9 + 12.5w = 1 + -4.5w + 4.5w Combine like terms: -4.5w + 4.5w = 0.0 9 + 12.5w = 1 + 0.0 9 + 12.5w = 1 Add '-9' to each side of the equation. 9 + -9 + 12.5w = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 12.5w = 1 + -9 12.5w = 1 + -9 Combine like terms: 1 + -9 = -8 12.5w = -8 Divide each side by '12.5'. w = -0.64 Simplifying w = -0.64
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