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Simplifying 5.1w + -3.9 + -4.4 = -0.3 + -1.2 Reorder the terms: -3.9 + -4.4 + 5.1w = -0.3 + -1.2 Combine like terms: -3.9 + -4.4 = -8.3 -8.3 + 5.1w = -0.3 + -1.2 Combine like terms: -0.3 + -1.2 = -1.5 -8.3 + 5.1w = -1.5 Solving -8.3 + 5.1w = -1.5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8.3' to each side of the equation. -8.3 + 8.3 + 5.1w = -1.5 + 8.3 Combine like terms: -8.3 + 8.3 = 0.0 0.0 + 5.1w = -1.5 + 8.3 5.1w = -1.5 + 8.3 Combine like terms: -1.5 + 8.3 = 6.8 5.1w = 6.8 Divide each side by '5.1'. w = 1.333333333 Simplifying w = 1.333333333
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