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Simplifying 10w + 5 = 7w Reorder the terms: 5 + 10w = 7w Solving 5 + 10w = 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 + 10w + -7w = 7w + -7w Combine like terms: 10w + -7w = 3w 5 + 3w = 7w + -7w Combine like terms: 7w + -7w = 0 5 + 3w = 0 Add '-5' to each side of the equation. 5 + -5 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667
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