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Simplifying 9(w + -5) = 3 + 8w Reorder the terms: 9(-5 + w) = 3 + 8w (-5 * 9 + w * 9) = 3 + 8w (-45 + 9w) = 3 + 8w Solving -45 + 9w = 3 + 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. -45 + 9w + -8w = 3 + 8w + -8w Combine like terms: 9w + -8w = 1w -45 + 1w = 3 + 8w + -8w Combine like terms: 8w + -8w = 0 -45 + 1w = 3 + 0 -45 + 1w = 3 Add '45' to each side of the equation. -45 + 45 + 1w = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 1w = 3 + 45 1w = 3 + 45 Combine like terms: 3 + 45 = 48 1w = 48 Divide each side by '1'. w = 48 Simplifying w = 48
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