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Simplifying 8w + -56 = 77 + -8w Reorder the terms: -56 + 8w = 77 + -8w Solving -56 + 8w = 77 + -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. -56 + 8w + 8w = 77 + -8w + 8w Combine like terms: 8w + 8w = 16w -56 + 16w = 77 + -8w + 8w Combine like terms: -8w + 8w = 0 -56 + 16w = 77 + 0 -56 + 16w = 77 Add '56' to each side of the equation. -56 + 56 + 16w = 77 + 56 Combine like terms: -56 + 56 = 0 0 + 16w = 77 + 56 16w = 77 + 56 Combine like terms: 77 + 56 = 133 16w = 133 Divide each side by '16'. w = 8.3125 Simplifying w = 8.3125
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