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Simplifying 7w + -6 = 10 + 5w + -10w Reorder the terms: -6 + 7w = 10 + 5w + -10w Combine like terms: 5w + -10w = -5w -6 + 7w = 10 + -5w Solving -6 + 7w = 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. -6 + 7w + 5w = 10 + -5w + 5w Combine like terms: 7w + 5w = 12w -6 + 12w = 10 + -5w + 5w Combine like terms: -5w + 5w = 0 -6 + 12w = 10 + 0 -6 + 12w = 10 Add '6' to each side of the equation. -6 + 6 + 12w = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 12w = 10 + 6 12w = 10 + 6 Combine like terms: 10 + 6 = 16 12w = 16 Divide each side by '12'. w = 1.333333333 Simplifying w = 1.333333333
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