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Simplifying -7(w + 1) = 9w + -23 Reorder the terms: -7(1 + w) = 9w + -23 (1 * -7 + w * -7) = 9w + -23 (-7 + -7w) = 9w + -23 Reorder the terms: -7 + -7w = -23 + 9w Solving -7 + -7w = -23 + 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. -7 + -7w + -9w = -23 + 9w + -9w Combine like terms: -7w + -9w = -16w -7 + -16w = -23 + 9w + -9w Combine like terms: 9w + -9w = 0 -7 + -16w = -23 + 0 -7 + -16w = -23 Add '7' to each side of the equation. -7 + 7 + -16w = -23 + 7 Combine like terms: -7 + 7 = 0 0 + -16w = -23 + 7 -16w = -23 + 7 Combine like terms: -23 + 7 = -16 -16w = -16 Divide each side by '-16'. w = 1 Simplifying w = 1
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