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Simplifying 2.3w + -7 = 8.1 + -3w Reorder the terms: -7 + 2.3w = 8.1 + -3w Solving -7 + 2.3w = 8.1 + -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. -7 + 2.3w + 3w = 8.1 + -3w + 3w Combine like terms: 2.3w + 3w = 5.3w -7 + 5.3w = 8.1 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 5.3w = 8.1 + 0 -7 + 5.3w = 8.1 Add '7' to each side of the equation. -7 + 7 + 5.3w = 8.1 + 7 Combine like terms: -7 + 7 = 0 0 + 5.3w = 8.1 + 7 5.3w = 8.1 + 7 Combine like terms: 8.1 + 7 = 15.1 5.3w = 15.1 Divide each side by '5.3'. w = 2.849056604 Simplifying w = 2.849056604
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