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Simplifying -8w + -9 = -8 + -2w + 10w Reorder the terms: -9 + -8w = -8 + -2w + 10w Combine like terms: -2w + 10w = 8w -9 + -8w = -8 + 8w Solving -9 + -8w = -8 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -9 + -8w + -8w = -8 + 8w + -8w Combine like terms: -8w + -8w = -16w -9 + -16w = -8 + 8w + -8w Combine like terms: 8w + -8w = 0 -9 + -16w = -8 + 0 -9 + -16w = -8 Add '9' to each side of the equation. -9 + 9 + -16w = -8 + 9 Combine like terms: -9 + 9 = 0 0 + -16w = -8 + 9 -16w = -8 + 9 Combine like terms: -8 + 9 = 1 -16w = 1 Divide each side by '-16'. w = -0.0625 Simplifying w = -0.0625
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