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Simplifying 9(w + 6) + -1(7 + -7w) = 15w Reorder the terms: 9(6 + w) + -1(7 + -7w) = 15w (6 * 9 + w * 9) + -1(7 + -7w) = 15w (54 + 9w) + -1(7 + -7w) = 15w 54 + 9w + (7 * -1 + -7w * -1) = 15w 54 + 9w + (-7 + 7w) = 15w Reorder the terms: 54 + -7 + 9w + 7w = 15w Combine like terms: 54 + -7 = 47 47 + 9w + 7w = 15w Combine like terms: 9w + 7w = 16w 47 + 16w = 15w Solving 47 + 16w = 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 47 + 16w + -15w = 15w + -15w Combine like terms: 16w + -15w = 1w 47 + 1w = 15w + -15w Combine like terms: 15w + -15w = 0 47 + 1w = 0 Add '-47' to each side of the equation. 47 + -47 + 1w = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 1w = 0 + -47 1w = 0 + -47 Combine like terms: 0 + -47 = -47 1w = -47 Divide each side by '1'. w = -47 Simplifying w = -47
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