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Simplifying 12w + -7 = 10w Reorder the terms: -7 + 12w = 10w Solving -7 + 12w = 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -7 + 12w + -10w = 10w + -10w Combine like terms: 12w + -10w = 2w -7 + 2w = 10w + -10w Combine like terms: 10w + -10w = 0 -7 + 2w = 0 Add '7' to each side of the equation. -7 + 7 + 2w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = 0 + 7 2w = 0 + 7 Combine like terms: 0 + 7 = 7 2w = 7 Divide each side by '2'. w = 3.5 Simplifying w = 3.5
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