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Simplifying -3(-2w + 7) = 27 Reorder the terms: -3(7 + -2w) = 27 (7 * -3 + -2w * -3) = 27 (-21 + 6w) = 27 Solving -21 + 6w = 27 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 6w = 27 + 21 Combine like terms: -21 + 21 = 0 0 + 6w = 27 + 21 6w = 27 + 21 Combine like terms: 27 + 21 = 48 6w = 48 Divide each side by '6'. w = 8 Simplifying w = 8
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