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Simplifying 9w + -56 = 8w + -7 Reorder the terms: -56 + 9w = 8w + -7 Reorder the terms: -56 + 9w = -7 + 8w Solving -56 + 9w = -7 + 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 + 9w + -8w = -7 + 8w + -8w Combine like terms: 9w + -8w = 1w -56 + 1w = -7 + 8w + -8w Combine like terms: 8w + -8w = 0 -56 + 1w = -7 + 0 -56 + 1w = -7 Add '56' to each side of the equation. -56 + 56 + 1w = -7 + 56 Combine like terms: -56 + 56 = 0 0 + 1w = -7 + 56 1w = -7 + 56 Combine like terms: -7 + 56 = 49 1w = 49 Divide each side by '1'. w = 49 Simplifying w = 49
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