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Simplifying 9(w + -6) = 5 + 8w Reorder the terms: 9(-6 + w) = 5 + 8w (-6 * 9 + w * 9) = 5 + 8w (-54 + 9w) = 5 + 8w Solving -54 + 9w = 5 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -54 + 9w + -8w = 5 + 8w + -8w Combine like terms: 9w + -8w = 1w -54 + 1w = 5 + 8w + -8w Combine like terms: 8w + -8w = 0 -54 + 1w = 5 + 0 -54 + 1w = 5 Add '54' to each side of the equation. -54 + 54 + 1w = 5 + 54 Combine like terms: -54 + 54 = 0 0 + 1w = 5 + 54 1w = 5 + 54 Combine like terms: 5 + 54 = 59 1w = 59 Divide each side by '1'. w = 59 Simplifying w = 59
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