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Simplifying 7w + -4 + 1w + 12 = 0 Reorder the terms: -4 + 12 + 7w + 1w = 0 Combine like terms: -4 + 12 = 8 8 + 7w + 1w = 0 Combine like terms: 7w + 1w = 8w 8 + 8w = 0 Solving 8 + 8w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 0 + -8 8w = 0 + -8 Combine like terms: 0 + -8 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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