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Simplifying 7.5w + 10.55 = -14.46 + 6w + 0.26 Reorder the terms: 10.55 + 7.5w = -14.46 + 6w + 0.26 Reorder the terms: 10.55 + 7.5w = -14.46 + 0.26 + 6w Combine like terms: -14.46 + 0.26 = -14.2 10.55 + 7.5w = -14.2 + 6w Solving 10.55 + 7.5w = -14.2 + 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. 10.55 + 7.5w + -6w = -14.2 + 6w + -6w Combine like terms: 7.5w + -6w = 1.5w 10.55 + 1.5w = -14.2 + 6w + -6w Combine like terms: 6w + -6w = 0 10.55 + 1.5w = -14.2 + 0 10.55 + 1.5w = -14.2 Add '-10.55' to each side of the equation. 10.55 + -10.55 + 1.5w = -14.2 + -10.55 Combine like terms: 10.55 + -10.55 = 0.00 0.00 + 1.5w = -14.2 + -10.55 1.5w = -14.2 + -10.55 Combine like terms: -14.2 + -10.55 = -24.75 1.5w = -24.75 Divide each side by '1.5'. w = -16.5 Simplifying w = -16.5
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