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Simplifying 4w + -3.8 = 3w + -7 Reorder the terms: -3.8 + 4w = 3w + -7 Reorder the terms: -3.8 + 4w = -7 + 3w Solving -3.8 + 4w = -7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -3.8 + 4w + -3w = -7 + 3w + -3w Combine like terms: 4w + -3w = 1w -3.8 + 1w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 -3.8 + 1w = -7 + 0 -3.8 + 1w = -7 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1w = -7 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1w = -7 + 3.8 1w = -7 + 3.8 Combine like terms: -7 + 3.8 = -3.2 1w = -3.2 Divide each side by '1'. w = -3.2 Simplifying w = -3.2
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