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Simplifying 6w + 9 = -5 + -10w + -2 Reorder the terms: 9 + 6w = -5 + -10w + -2 Reorder the terms: 9 + 6w = -5 + -2 + -10w Combine like terms: -5 + -2 = -7 9 + 6w = -7 + -10w Solving 9 + 6w = -7 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 9 + 6w + 10w = -7 + -10w + 10w Combine like terms: 6w + 10w = 16w 9 + 16w = -7 + -10w + 10w Combine like terms: -10w + 10w = 0 9 + 16w = -7 + 0 9 + 16w = -7 Add '-9' to each side of the equation. 9 + -9 + 16w = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 16w = -7 + -9 16w = -7 + -9 Combine like terms: -7 + -9 = -16 16w = -16 Divide each side by '16'. w = -1 Simplifying w = -1
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