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Simplifying -7w + 3 = 9(w + -5) Reorder the terms: 3 + -7w = 9(w + -5) Reorder the terms: 3 + -7w = 9(-5 + w) 3 + -7w = (-5 * 9 + w * 9) 3 + -7w = (-45 + 9w) Solving 3 + -7w = -45 + 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. 3 + -7w + -9w = -45 + 9w + -9w Combine like terms: -7w + -9w = -16w 3 + -16w = -45 + 9w + -9w Combine like terms: 9w + -9w = 0 3 + -16w = -45 + 0 3 + -16w = -45 Add '-3' to each side of the equation. 3 + -3 + -16w = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -16w = -45 + -3 -16w = -45 + -3 Combine like terms: -45 + -3 = -48 -16w = -48 Divide each side by '-16'. w = 3 Simplifying w = 3
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