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Simplifying -12.9 + 12.04 + 15.7w = 13.42 + 17.8w Combine like terms: -12.9 + 12.04 = -0.86 -0.86 + 15.7w = 13.42 + 17.8w Solving -0.86 + 15.7w = 13.42 + 17.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17.8w' to each side of the equation. -0.86 + 15.7w + -17.8w = 13.42 + 17.8w + -17.8w Combine like terms: 15.7w + -17.8w = -2.1w -0.86 + -2.1w = 13.42 + 17.8w + -17.8w Combine like terms: 17.8w + -17.8w = 0.0 -0.86 + -2.1w = 13.42 + 0.0 -0.86 + -2.1w = 13.42 Add '0.86' to each side of the equation. -0.86 + 0.86 + -2.1w = 13.42 + 0.86 Combine like terms: -0.86 + 0.86 = 0.00 0.00 + -2.1w = 13.42 + 0.86 -2.1w = 13.42 + 0.86 Combine like terms: 13.42 + 0.86 = 14.28 -2.1w = 14.28 Divide each side by '-2.1'. w = -6.8 Simplifying w = -6.8
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