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Simplifying 2w + 6 = 8 + 3w Reorder the terms: 6 + 2w = 8 + 3w Solving 6 + 2w = 8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 6 + 2w + -3w = 8 + 3w + -3w Combine like terms: 2w + -3w = -1w 6 + -1w = 8 + 3w + -3w Combine like terms: 3w + -3w = 0 6 + -1w = 8 + 0 6 + -1w = 8 Add '-6' to each side of the equation. 6 + -6 + -1w = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 8 + -6 -1w = 8 + -6 Combine like terms: 8 + -6 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2
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