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Simplifying 3w + -2 = 10 + -2w + -2 Reorder the terms: -2 + 3w = 10 + -2w + -2 Reorder the terms: -2 + 3w = 10 + -2 + -2w Combine like terms: 10 + -2 = 8 -2 + 3w = 8 + -2w Solving -2 + 3w = 8 + -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. -2 + 3w + 2w = 8 + -2w + 2w Combine like terms: 3w + 2w = 5w -2 + 5w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + 5w = 8 + 0 -2 + 5w = 8 Add '2' to each side of the equation. -2 + 2 + 5w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5w = 8 + 2 5w = 8 + 2 Combine like terms: 8 + 2 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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