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