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Simplifying 14w + 5 = 15w + -1 Reorder the terms: 5 + 14w = 15w + -1 Reorder the terms: 5 + 14w = -1 + 15w Solving 5 + 14w = -1 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 5 + 14w + -15w = -1 + 15w + -15w Combine like terms: 14w + -15w = -1w 5 + -1w = -1 + 15w + -15w Combine like terms: 15w + -15w = 0 5 + -1w = -1 + 0 5 + -1w = -1 Add '-5' to each side of the equation. 5 + -5 + -1w = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = -1 + -5 -1w = -1 + -5 Combine like terms: -1 + -5 = -6 -1w = -6 Divide each side by '-1'. w = 6 Simplifying w = 6
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