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Simplifying 4.6 = 4w + -3.4 Reorder the terms: 4.6 = -3.4 + 4w Solving 4.6 = -3.4 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 4.6 + -4w = -3.4 + 4w + -4w Combine like terms: 4w + -4w = 0 4.6 + -4w = -3.4 + 0 4.6 + -4w = -3.4 Add '-4.6' to each side of the equation. 4.6 + -4.6 + -4w = -3.4 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -4w = -3.4 + -4.6 -4w = -3.4 + -4.6 Combine like terms: -3.4 + -4.6 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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