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Simplifying 8w + -12 = 9w + -4 Reorder the terms: -12 + 8w = 9w + -4 Reorder the terms: -12 + 8w = -4 + 9w Solving -12 + 8w = -4 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -12 + 8w + -9w = -4 + 9w + -9w Combine like terms: 8w + -9w = -1w -12 + -1w = -4 + 9w + -9w Combine like terms: 9w + -9w = 0 -12 + -1w = -4 + 0 -12 + -1w = -4 Add '12' to each side of the equation. -12 + 12 + -1w = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = -4 + 12 -1w = -4 + 12 Combine like terms: -4 + 12 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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