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Simplifying 12w + 10 = 2w Reorder the terms: 10 + 12w = 2w Solving 10 + 12w = 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 + 12w + -2w = 2w + -2w Combine like terms: 12w + -2w = 10w 10 + 10w = 2w + -2w Combine like terms: 2w + -2w = 0 10 + 10w = 0 Add '-10' to each side of the equation. 10 + -10 + 10w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10w = 0 + -10 10w = 0 + -10 Combine like terms: 0 + -10 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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