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Simplifying 8w + -9.4 = 7w + -6.8 Reorder the terms: -9.4 + 8w = 7w + -6.8 Reorder the terms: -9.4 + 8w = -6.8 + 7w Solving -9.4 + 8w = -6.8 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -9.4 + 8w + -7w = -6.8 + 7w + -7w Combine like terms: 8w + -7w = 1w -9.4 + 1w = -6.8 + 7w + -7w Combine like terms: 7w + -7w = 0 -9.4 + 1w = -6.8 + 0 -9.4 + 1w = -6.8 Add '9.4' to each side of the equation. -9.4 + 9.4 + 1w = -6.8 + 9.4 Combine like terms: -9.4 + 9.4 = 0.0 0.0 + 1w = -6.8 + 9.4 1w = -6.8 + 9.4 Combine like terms: -6.8 + 9.4 = 2.6 1w = 2.6 Divide each side by '1'. w = 2.6 Simplifying w = 2.6
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