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Simplifying 9w + -31 = -7(w + -7) Reorder the terms: -31 + 9w = -7(w + -7) Reorder the terms: -31 + 9w = -7(-7 + w) -31 + 9w = (-7 * -7 + w * -7) -31 + 9w = (49 + -7w) Solving -31 + 9w = 49 + -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. -31 + 9w + 7w = 49 + -7w + 7w Combine like terms: 9w + 7w = 16w -31 + 16w = 49 + -7w + 7w Combine like terms: -7w + 7w = 0 -31 + 16w = 49 + 0 -31 + 16w = 49 Add '31' to each side of the equation. -31 + 31 + 16w = 49 + 31 Combine like terms: -31 + 31 = 0 0 + 16w = 49 + 31 16w = 49 + 31 Combine like terms: 49 + 31 = 80 16w = 80 Divide each side by '16'. w = 5 Simplifying w = 5
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