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Simplifying 12 + -6w = 10 + -5w Solving 12 + -6w = 10 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 12 + -6w + 5w = 10 + -5w + 5w Combine like terms: -6w + 5w = -1w 12 + -1w = 10 + -5w + 5w Combine like terms: -5w + 5w = 0 12 + -1w = 10 + 0 12 + -1w = 10 Add '-12' to each side of the equation. 12 + -12 + -1w = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 10 + -12 -1w = 10 + -12 Combine like terms: 10 + -12 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2

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