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Simplifying 8w + 76 = 52w + -100 Reorder the terms: 76 + 8w = 52w + -100 Reorder the terms: 76 + 8w = -100 + 52w Solving 76 + 8w = -100 + 52w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-52w' to each side of the equation. 76 + 8w + -52w = -100 + 52w + -52w Combine like terms: 8w + -52w = -44w 76 + -44w = -100 + 52w + -52w Combine like terms: 52w + -52w = 0 76 + -44w = -100 + 0 76 + -44w = -100 Add '-76' to each side of the equation. 76 + -76 + -44w = -100 + -76 Combine like terms: 76 + -76 = 0 0 + -44w = -100 + -76 -44w = -100 + -76 Combine like terms: -100 + -76 = -176 -44w = -176 Divide each side by '-44'. w = 4 Simplifying w = 4
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