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Simplifying -9(w + 7) = 8w + 39 Reorder the terms: -9(7 + w) = 8w + 39 (7 * -9 + w * -9) = 8w + 39 (-63 + -9w) = 8w + 39 Reorder the terms: -63 + -9w = 39 + 8w Solving -63 + -9w = 39 + 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 = 39 + 8w + -8w Combine like terms: -9w + -8w = -17w -63 + -17w = 39 + 8w + -8w Combine like terms: 8w + -8w = 0 -63 + -17w = 39 + 0 -63 + -17w = 39 Add '63' to each side of the equation. -63 + 63 + -17w = 39 + 63 Combine like terms: -63 + 63 = 0 0 + -17w = 39 + 63 -17w = 39 + 63 Combine like terms: 39 + 63 = 102 -17w = 102 Divide each side by '-17'. w = -6 Simplifying w = -6
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