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Simplifying 1.5w + 6 = 9w + 12 Reorder the terms: 6 + 1.5w = 9w + 12 Reorder the terms: 6 + 1.5w = 12 + 9w Solving 6 + 1.5w = 12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 6 + 1.5w + -9w = 12 + 9w + -9w Combine like terms: 1.5w + -9w = -7.5w 6 + -7.5w = 12 + 9w + -9w Combine like terms: 9w + -9w = 0 6 + -7.5w = 12 + 0 6 + -7.5w = 12 Add '-6' to each side of the equation. 6 + -6 + -7.5w = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7.5w = 12 + -6 -7.5w = 12 + -6 Combine like terms: 12 + -6 = 6 -7.5w = 6 Divide each side by '-7.5'. w = -0.8 Simplifying w = -0.8
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