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Simplifying 4.6w + -3.6w + -8.9 = -3.4 + 0.4 Reorder the terms: -8.9 + 4.6w + -3.6w = -3.4 + 0.4 Combine like terms: 4.6w + -3.6w = 1w -8.9 + 1w = -3.4 + 0.4 Combine like terms: -3.4 + 0.4 = -3 -8.9 + 1w = -3 Solving -8.9 + 1w = -3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8.9' to each side of the equation. -8.9 + 8.9 + 1w = -3 + 8.9 Combine like terms: -8.9 + 8.9 = 0.0 0.0 + 1w = -3 + 8.9 1w = -3 + 8.9 Combine like terms: -3 + 8.9 = 5.9 1w = 5.9 Divide each side by '1'. w = 5.9 Simplifying w = 5.9
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