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Simplifying 8w + 12 = 182 + -7w + -35 Reorder the terms: 12 + 8w = 182 + -7w + -35 Reorder the terms: 12 + 8w = 182 + -35 + -7w Combine like terms: 182 + -35 = 147 12 + 8w = 147 + -7w Solving 12 + 8w = 147 + -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. 12 + 8w + 7w = 147 + -7w + 7w Combine like terms: 8w + 7w = 15w 12 + 15w = 147 + -7w + 7w Combine like terms: -7w + 7w = 0 12 + 15w = 147 + 0 12 + 15w = 147 Add '-12' to each side of the equation. 12 + -12 + 15w = 147 + -12 Combine like terms: 12 + -12 = 0 0 + 15w = 147 + -12 15w = 147 + -12 Combine like terms: 147 + -12 = 135 15w = 135 Divide each side by '15'. w = 9 Simplifying w = 9
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