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Simplifying 5 = 7w + -8 + 2 Reorder the terms: 5 = -8 + 2 + 7w Combine like terms: -8 + 2 = -6 5 = -6 + 7w Solving 5 = -6 + 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. 5 + -7w = -6 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + -7w = -6 + 0 5 + -7w = -6 Add '-5' to each side of the equation. 5 + -5 + -7w = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -7w = -6 + -5 -7w = -6 + -5 Combine like terms: -6 + -5 = -11 -7w = -11 Divide each side by '-7'. w = 1.571428571 Simplifying w = 1.571428571
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