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Simplifying 9(w + -7) = 3 + 8w Reorder the terms: 9(-7 + w) = 3 + 8w (-7 * 9 + w * 9) = 3 + 8w (-63 + 9w) = 3 + 8w Solving -63 + 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. -63 + 9w + -8w = 3 + 8w + -8w Combine like terms: 9w + -8w = 1w -63 + 1w = 3 + 8w + -8w Combine like terms: 8w + -8w = 0 -63 + 1w = 3 + 0 -63 + 1w = 3 Add '63' to each side of the equation. -63 + 63 + 1w = 3 + 63 Combine like terms: -63 + 63 = 0 0 + 1w = 3 + 63 1w = 3 + 63 Combine like terms: 3 + 63 = 66 1w = 66 Divide each side by '1'. w = 66 Simplifying w = 66
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