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Simplifying 3w + 6 = 2w + -2 Reorder the terms: 6 + 3w = 2w + -2 Reorder the terms: 6 + 3w = -2 + 2w Solving 6 + 3w = -2 + 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 + 3w + -2w = -2 + 2w + -2w Combine like terms: 3w + -2w = 1w 6 + 1w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 6 + 1w = -2 + 0 6 + 1w = -2 Add '-6' to each side of the equation. 6 + -6 + 1w = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 1w = -2 + -6 1w = -2 + -6 Combine like terms: -2 + -6 = -8 1w = -8 Divide each side by '1'. w = -8 Simplifying w = -8
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