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Simplifying 2w + 82 = 32w + -98 Reorder the terms: 82 + 2w = 32w + -98 Reorder the terms: 82 + 2w = -98 + 32w Solving 82 + 2w = -98 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 82 + 2w + -32w = -98 + 32w + -32w Combine like terms: 2w + -32w = -30w 82 + -30w = -98 + 32w + -32w Combine like terms: 32w + -32w = 0 82 + -30w = -98 + 0 82 + -30w = -98 Add '-82' to each side of the equation. 82 + -82 + -30w = -98 + -82 Combine like terms: 82 + -82 = 0 0 + -30w = -98 + -82 -30w = -98 + -82 Combine like terms: -98 + -82 = -180 -30w = -180 Divide each side by '-30'. w = 6 Simplifying w = 6
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