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Simplifying 7w + 12 = 10w Reorder the terms: 12 + 7w = 10w Solving 12 + 7w = 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. 12 + 7w + -10w = 10w + -10w Combine like terms: 7w + -10w = -3w 12 + -3w = 10w + -10w Combine like terms: 10w + -10w = 0 12 + -3w = 0 Add '-12' to each side of the equation. 12 + -12 + -3w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 0 + -12 -3w = 0 + -12 Combine like terms: 0 + -12 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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