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Simplifying 9(w + -6) = -7w + 10 Reorder the terms: 9(-6 + w) = -7w + 10 (-6 * 9 + w * 9) = -7w + 10 (-54 + 9w) = -7w + 10 Reorder the terms: -54 + 9w = 10 + -7w Solving -54 + 9w = 10 + -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. -54 + 9w + 7w = 10 + -7w + 7w Combine like terms: 9w + 7w = 16w -54 + 16w = 10 + -7w + 7w Combine like terms: -7w + 7w = 0 -54 + 16w = 10 + 0 -54 + 16w = 10 Add '54' to each side of the equation. -54 + 54 + 16w = 10 + 54 Combine like terms: -54 + 54 = 0 0 + 16w = 10 + 54 16w = 10 + 54 Combine like terms: 10 + 54 = 64 16w = 64 Divide each side by '16'. w = 4 Simplifying w = 4
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