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Simplifying 12w + 35 = 155 + -3w Reorder the terms: 35 + 12w = 155 + -3w Solving 35 + 12w = 155 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 35 + 12w + 3w = 155 + -3w + 3w Combine like terms: 12w + 3w = 15w 35 + 15w = 155 + -3w + 3w Combine like terms: -3w + 3w = 0 35 + 15w = 155 + 0 35 + 15w = 155 Add '-35' to each side of the equation. 35 + -35 + 15w = 155 + -35 Combine like terms: 35 + -35 = 0 0 + 15w = 155 + -35 15w = 155 + -35 Combine like terms: 155 + -35 = 120 15w = 120 Divide each side by '15'. w = 8 Simplifying w = 8
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