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Simplifying -54 = -9(w + 2) Reorder the terms: -54 = -9(2 + w) -54 = (2 * -9 + w * -9) -54 = (-18 + -9w) Solving -54 = -18 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -54 + 9w = -18 + -9w + 9w Combine like terms: -9w + 9w = 0 -54 + 9w = -18 + 0 -54 + 9w = -18 Add '54' to each side of the equation. -54 + 54 + 9w = -18 + 54 Combine like terms: -54 + 54 = 0 0 + 9w = -18 + 54 9w = -18 + 54 Combine like terms: -18 + 54 = 36 9w = 36 Divide each side by '9'. w = 4 Simplifying w = 4
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