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Simplifying 3w + 10 = 2w + 7 Reorder the terms: 10 + 3w = 2w + 7 Reorder the terms: 10 + 3w = 7 + 2w Solving 10 + 3w = 7 + 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 + 3w + -2w = 7 + 2w + -2w Combine like terms: 3w + -2w = 1w 10 + 1w = 7 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + 1w = 7 + 0 10 + 1w = 7 Add '-10' to each side of the equation. 10 + -10 + 1w = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1w = 7 + -10 1w = 7 + -10 Combine like terms: 7 + -10 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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