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Simplifying 84 = 7w + 42 + -8w + -36 Reorder the terms: 84 = 42 + -36 + 7w + -8w Combine like terms: 42 + -36 = 6 84 = 6 + 7w + -8w Combine like terms: 7w + -8w = -1w 84 = 6 + -1w Solving 84 = 6 + -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. 84 + w = 6 + -1w + w Combine like terms: -1w + w = 0 84 + w = 6 + 0 84 + w = 6 Add '-84' to each side of the equation. 84 + -84 + w = 6 + -84 Combine like terms: 84 + -84 = 0 0 + w = 6 + -84 w = 6 + -84 Combine like terms: 6 + -84 = -78 w = -78 Simplifying w = -78
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