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Simplifying 6w + 2 = 14w + -1 Reorder the terms: 2 + 6w = 14w + -1 Reorder the terms: 2 + 6w = -1 + 14w Solving 2 + 6w = -1 + 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 + 6w + -14w = -1 + 14w + -14w Combine like terms: 6w + -14w = -8w 2 + -8w = -1 + 14w + -14w Combine like terms: 14w + -14w = 0 2 + -8w = -1 + 0 2 + -8w = -1 Add '-2' to each side of the equation. 2 + -2 + -8w = -1 + -2 Combine like terms: 2 + -2 = 0 0 + -8w = -1 + -2 -8w = -1 + -2 Combine like terms: -1 + -2 = -3 -8w = -3 Divide each side by '-8'. w = 0.375 Simplifying w = 0.375
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