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Simplifying 7w + 15 = -9(w + -7) Reorder the terms: 15 + 7w = -9(w + -7) Reorder the terms: 15 + 7w = -9(-7 + w) 15 + 7w = (-7 * -9 + w * -9) 15 + 7w = (63 + -9w) Solving 15 + 7w = 63 + -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. 15 + 7w + 9w = 63 + -9w + 9w Combine like terms: 7w + 9w = 16w 15 + 16w = 63 + -9w + 9w Combine like terms: -9w + 9w = 0 15 + 16w = 63 + 0 15 + 16w = 63 Add '-15' to each side of the equation. 15 + -15 + 16w = 63 + -15 Combine like terms: 15 + -15 = 0 0 + 16w = 63 + -15 16w = 63 + -15 Combine like terms: 63 + -15 = 48 16w = 48 Divide each side by '16'. w = 3 Simplifying w = 3
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