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Simplifying 6w + 8 + -3w = 2w + -6 Reorder the terms: 8 + 6w + -3w = 2w + -6 Combine like terms: 6w + -3w = 3w 8 + 3w = 2w + -6 Reorder the terms: 8 + 3w = -6 + 2w Solving 8 + 3w = -6 + 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. 8 + 3w + -2w = -6 + 2w + -2w Combine like terms: 3w + -2w = 1w 8 + 1w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 1w = -6 + 0 8 + 1w = -6 Add '-8' to each side of the equation. 8 + -8 + 1w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = -6 + -8 1w = -6 + -8 Combine like terms: -6 + -8 = -14 1w = -14 Divide each side by '1'. w = -14 Simplifying w = -14
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