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Simplifying 7.1 = 6w + -12.1 Reorder the terms: 7.1 = -12.1 + 6w Solving 7.1 = -12.1 + 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. 7.1 + -6w = -12.1 + 6w + -6w Combine like terms: 6w + -6w = 0 7.1 + -6w = -12.1 + 0 7.1 + -6w = -12.1 Add '-7.1' to each side of the equation. 7.1 + -7.1 + -6w = -12.1 + -7.1 Combine like terms: 7.1 + -7.1 = 0.0 0.0 + -6w = -12.1 + -7.1 -6w = -12.1 + -7.1 Combine like terms: -12.1 + -7.1 = -19.2 -6w = -19.2 Divide each side by '-6'. w = 3.2 Simplifying w = 3.2
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