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Simplifying -27 = (1 + w) + -9 Remove parenthesis around (1 + w) -27 = 1 + w + -9 Reorder the terms: -27 = 1 + -9 + w Combine like terms: 1 + -9 = -8 -27 = -8 + w Solving -27 = -8 + w 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. -27 + -1w = -8 + w + -1w Combine like terms: w + -1w = 0 -27 + -1w = -8 + 0 -27 + -1w = -8 Add '27' to each side of the equation. -27 + 27 + -1w = -8 + 27 Combine like terms: -27 + 27 = 0 0 + -1w = -8 + 27 -1w = -8 + 27 Combine like terms: -8 + 27 = 19 -1w = 19 Divide each side by '-1'. w = -19 Simplifying w = -19
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