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Simplifying -27w + 42w + -1w + -17w + 9 = -36 Reorder the terms: 9 + -27w + 42w + -1w + -17w = -36 Combine like terms: -27w + 42w = 15w 9 + 15w + -1w + -17w = -36 Combine like terms: 15w + -1w = 14w 9 + 14w + -17w = -36 Combine like terms: 14w + -17w = -3w 9 + -3w = -36 Solving 9 + -3w = -36 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3w = -36 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = -36 + -9 -3w = -36 + -9 Combine like terms: -36 + -9 = -45 -3w = -45 Divide each side by '-3'. w = 15 Simplifying w = 15
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