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Simplifying 13w + 2 = 14w + -6 Reorder the terms: 2 + 13w = 14w + -6 Reorder the terms: 2 + 13w = -6 + 14w Solving 2 + 13w = -6 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 2 + 13w + -14w = -6 + 14w + -14w Combine like terms: 13w + -14w = -1w 2 + -1w = -6 + 14w + -14w Combine like terms: 14w + -14w = 0 2 + -1w = -6 + 0 2 + -1w = -6 Add '-2' to each side of the equation. 2 + -2 + -1w = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = -6 + -2 -1w = -6 + -2 Combine like terms: -6 + -2 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8
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