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Simplifying 5w + -6 = 12 + 2w Reorder the terms: -6 + 5w = 12 + 2w Solving -6 + 5w = 12 + 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. -6 + 5w + -2w = 12 + 2w + -2w Combine like terms: 5w + -2w = 3w -6 + 3w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + 3w = 12 + 0 -6 + 3w = 12 Add '6' to each side of the equation. -6 + 6 + 3w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = 12 + 6 3w = 12 + 6 Combine like terms: 12 + 6 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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