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Simplifying 10w + 61 = 2w + 69 Reorder the terms: 61 + 10w = 2w + 69 Reorder the terms: 61 + 10w = 69 + 2w Solving 61 + 10w = 69 + 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. 61 + 10w + -2w = 69 + 2w + -2w Combine like terms: 10w + -2w = 8w 61 + 8w = 69 + 2w + -2w Combine like terms: 2w + -2w = 0 61 + 8w = 69 + 0 61 + 8w = 69 Add '-61' to each side of the equation. 61 + -61 + 8w = 69 + -61 Combine like terms: 61 + -61 = 0 0 + 8w = 69 + -61 8w = 69 + -61 Combine like terms: 69 + -61 = 8 8w = 8 Divide each side by '8'. w = 1 Simplifying w = 1
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