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Simplifying 10w + 10 = 2w + 74 Reorder the terms: 10 + 10w = 2w + 74 Reorder the terms: 10 + 10w = 74 + 2w Solving 10 + 10w = 74 + 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. 10 + 10w + -2w = 74 + 2w + -2w Combine like terms: 10w + -2w = 8w 10 + 8w = 74 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + 8w = 74 + 0 10 + 8w = 74 Add '-10' to each side of the equation. 10 + -10 + 8w = 74 + -10 Combine like terms: 10 + -10 = 0 0 + 8w = 74 + -10 8w = 74 + -10 Combine like terms: 74 + -10 = 64 8w = 64 Divide each side by '8'. w = 8 Simplifying w = 8
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