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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 = 15w -5 + 15w = 12 + -8w + 8w Combine like terms: -8w + 8w = 0 -5 + 15w = 12 + 0 -5 + 15w = 12 Add '5' to each side of the equation. -5 + 5 + 15w = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 15w = 12 + 5 15w = 12 + 5 Combine like terms: 12 + 5 = 17 15w = 17 Divide each side by '15'. w = 1.133333333 Simplifying w = 1.133333333
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