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Simplifying -1w + -14 = 15w + -14w + 20 Reorder the terms: -14 + -1w = 15w + -14w + 20 Reorder the terms: -14 + -1w = 20 + 15w + -14w Combine like terms: 15w + -14w = 1w -14 + -1w = 20 + 1w Solving -14 + -1w = 20 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -14 + -1w + -1w = 20 + 1w + -1w Combine like terms: -1w + -1w = -2w -14 + -2w = 20 + 1w + -1w Combine like terms: 1w + -1w = 0 -14 + -2w = 20 + 0 -14 + -2w = 20 Add '14' to each side of the equation. -14 + 14 + -2w = 20 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = 20 + 14 -2w = 20 + 14 Combine like terms: 20 + 14 = 34 -2w = 34 Divide each side by '-2'. w = -17 Simplifying w = -17
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