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Simplifying 4.6w + 3 = 3.1w + -3 Reorder the terms: 3 + 4.6w = 3.1w + -3 Reorder the terms: 3 + 4.6w = -3 + 3.1w Solving 3 + 4.6w = -3 + 3.1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.1w' to each side of the equation. 3 + 4.6w + -3.1w = -3 + 3.1w + -3.1w Combine like terms: 4.6w + -3.1w = 1.5w 3 + 1.5w = -3 + 3.1w + -3.1w Combine like terms: 3.1w + -3.1w = 0.0 3 + 1.5w = -3 + 0.0 3 + 1.5w = -3 Add '-3' to each side of the equation. 3 + -3 + 1.5w = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5w = -3 + -3 1.5w = -3 + -3 Combine like terms: -3 + -3 = -6 1.5w = -6 Divide each side by '1.5'. w = -4 Simplifying w = -4
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