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Simplifying 8 + -9w = 7w + -8 Reorder the terms: 8 + -9w = -8 + 7w Solving 8 + -9w = -8 + 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. 8 + -9w + -7w = -8 + 7w + -7w Combine like terms: -9w + -7w = -16w 8 + -16w = -8 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + -16w = -8 + 0 8 + -16w = -8 Add '-8' to each side of the equation. 8 + -8 + -16w = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -16w = -8 + -8 -16w = -8 + -8 Combine like terms: -8 + -8 = -16 -16w = -16 Divide each side by '-16'. w = 1 Simplifying w = 1
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