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Simplifying w + 6w + -8w + 7 = 0 Reorder the terms: 7 + w + 6w + -8w = 0 Combine like terms: w + 6w = 7w 7 + 7w + -8w = 0 Combine like terms: 7w + -8w = -1w 7 + -1w = 0 Solving 7 + -1w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7
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