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Simplifying -2(w + -6) + 8w + 1 = 0 Reorder the terms: -2(-6 + w) + 8w + 1 = 0 (-6 * -2 + w * -2) + 8w + 1 = 0 (12 + -2w) + 8w + 1 = 0 Reorder the terms: 12 + 1 + -2w + 8w = 0 Combine like terms: 12 + 1 = 13 13 + -2w + 8w = 0 Combine like terms: -2w + 8w = 6w 13 + 6w = 0 Solving 13 + 6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6w = 0 + -13 6w = 0 + -13 Combine like terms: 0 + -13 = -13 6w = -13 Divide each side by '6'. w = -2.166666667 Simplifying w = -2.166666667
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