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Simplifying 9w + -8 = -7(w + 8) Reorder the terms: -8 + 9w = -7(w + 8) Reorder the terms: -8 + 9w = -7(8 + w) -8 + 9w = (8 * -7 + w * -7) -8 + 9w = (-56 + -7w) Solving -8 + 9w = -56 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -8 + 9w + 7w = -56 + -7w + 7w Combine like terms: 9w + 7w = 16w -8 + 16w = -56 + -7w + 7w Combine like terms: -7w + 7w = 0 -8 + 16w = -56 + 0 -8 + 16w = -56 Add '8' to each side of the equation. -8 + 8 + 16w = -56 + 8 Combine like terms: -8 + 8 = 0 0 + 16w = -56 + 8 16w = -56 + 8 Combine like terms: -56 + 8 = -48 16w = -48 Divide each side by '16'. w = -3 Simplifying w = -3
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