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Simplifying 35 = 12w + -5w Combine like terms: 12w + -5w = 7w 35 = 7w Solving 35 = 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. 35 + -7w = 7w + -7w Combine like terms: 7w + -7w = 0 35 + -7w = 0 Add '-35' to each side of the equation. 35 + -35 + -7w = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7w = 0 + -35 -7w = 0 + -35 Combine like terms: 0 + -35 = -35 -7w = -35 Divide each side by '-7'. w = 5 Simplifying w = 5
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