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Simplifying 8w + 1 + -2w + 6 = 0 Reorder the terms: 1 + 6 + 8w + -2w = 0 Combine like terms: 1 + 6 = 7 7 + 8w + -2w = 0 Combine like terms: 8w + -2w = 6w 7 + 6w = 0 Solving 7 + 6w = 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 + 6w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = 0 + -7 6w = 0 + -7 Combine like terms: 0 + -7 = -7 6w = -7 Divide each side by '6'. w = -1.166666667 Simplifying w = -1.166666667
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