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Simplifying 14.1 = 7w + -3.4 Reorder the terms: 14.1 = -3.4 + 7w Solving 14.1 = -3.4 + 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. 14.1 + -7w = -3.4 + 7w + -7w Combine like terms: 7w + -7w = 0 14.1 + -7w = -3.4 + 0 14.1 + -7w = -3.4 Add '-14.1' to each side of the equation. 14.1 + -14.1 + -7w = -3.4 + -14.1 Combine like terms: 14.1 + -14.1 = 0.0 0.0 + -7w = -3.4 + -14.1 -7w = -3.4 + -14.1 Combine like terms: -3.4 + -14.1 = -17.5 -7w = -17.5 Divide each side by '-7'. w = 2.5 Simplifying w = 2.5
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