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Simplifying 7w + -5 = 8w + 12 Reorder the terms: -5 + 7w = 8w + 12 Reorder the terms: -5 + 7w = 12 + 8w Solving -5 + 7w = 12 + 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. -5 + 7w + -8w = 12 + 8w + -8w Combine like terms: 7w + -8w = -1w -5 + -1w = 12 + 8w + -8w Combine like terms: 8w + -8w = 0 -5 + -1w = 12 + 0 -5 + -1w = 12 Add '5' to each side of the equation. -5 + 5 + -1w = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 12 + 5 -1w = 12 + 5 Combine like terms: 12 + 5 = 17 -1w = 17 Divide each side by '-1'. w = -17 Simplifying w = -17
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