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Simplifying -7(w + 7) = 9w + 15 Reorder the terms: -7(7 + w) = 9w + 15 (7 * -7 + w * -7) = 9w + 15 (-49 + -7w) = 9w + 15 Reorder the terms: -49 + -7w = 15 + 9w Solving -49 + -7w = 15 + 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. -49 + -7w + -9w = 15 + 9w + -9w Combine like terms: -7w + -9w = -16w -49 + -16w = 15 + 9w + -9w Combine like terms: 9w + -9w = 0 -49 + -16w = 15 + 0 -49 + -16w = 15 Add '49' to each side of the equation. -49 + 49 + -16w = 15 + 49 Combine like terms: -49 + 49 = 0 0 + -16w = 15 + 49 -16w = 15 + 49 Combine like terms: 15 + 49 = 64 -16w = 64 Divide each side by '-16'. w = -4 Simplifying w = -4
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