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Simplifying 14w + -13 = 9 + 13w + -14 Reorder the terms: -13 + 14w = 9 + 13w + -14 Reorder the terms: -13 + 14w = 9 + -14 + 13w Combine like terms: 9 + -14 = -5 -13 + 14w = -5 + 13w Solving -13 + 14w = -5 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -13 + 14w + -13w = -5 + 13w + -13w Combine like terms: 14w + -13w = 1w -13 + 1w = -5 + 13w + -13w Combine like terms: 13w + -13w = 0 -13 + 1w = -5 + 0 -13 + 1w = -5 Add '13' to each side of the equation. -13 + 13 + 1w = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 1w = -5 + 13 1w = -5 + 13 Combine like terms: -5 + 13 = 8 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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