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Simplifying 27 + 6(7w + -6) = -9 Reorder the terms: 27 + 6(-6 + 7w) = -9 27 + (-6 * 6 + 7w * 6) = -9 27 + (-36 + 42w) = -9 Combine like terms: 27 + -36 = -9 -9 + 42w = -9 Add '9' to each side of the equation. -9 + 9 + 42w = -9 + 9 Combine like terms: -9 + 9 = 0 0 + 42w = -9 + 9 42w = -9 + 9 Combine like terms: -9 + 9 = 0 42w = 0 Solving 42w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '42'. w = 0 Simplifying w = 0
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