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Simplifying 8w + 12 = 7w + 9 Reorder the terms: 12 + 8w = 7w + 9 Reorder the terms: 12 + 8w = 9 + 7w Solving 12 + 8w = 9 + 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. 12 + 8w + -7w = 9 + 7w + -7w Combine like terms: 8w + -7w = 1w 12 + 1w = 9 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + 1w = 9 + 0 12 + 1w = 9 Add '-12' to each side of the equation. 12 + -12 + 1w = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 1w = 9 + -12 1w = 9 + -12 Combine like terms: 9 + -12 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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