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Simplifying 3w + 29 = 2w + 91 Reorder the terms: 29 + 3w = 2w + 91 Reorder the terms: 29 + 3w = 91 + 2w Solving 29 + 3w = 91 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 29 + 3w + -2w = 91 + 2w + -2w Combine like terms: 3w + -2w = 1w 29 + 1w = 91 + 2w + -2w Combine like terms: 2w + -2w = 0 29 + 1w = 91 + 0 29 + 1w = 91 Add '-29' to each side of the equation. 29 + -29 + 1w = 91 + -29 Combine like terms: 29 + -29 = 0 0 + 1w = 91 + -29 1w = 91 + -29 Combine like terms: 91 + -29 = 62 1w = 62 Divide each side by '1'. w = 62 Simplifying w = 62
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