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Simplifying -3(w + -8) + 6w + 1 = 0 Reorder the terms: -3(-8 + w) + 6w + 1 = 0 (-8 * -3 + w * -3) + 6w + 1 = 0 (24 + -3w) + 6w + 1 = 0 Reorder the terms: 24 + 1 + -3w + 6w = 0 Combine like terms: 24 + 1 = 25 25 + -3w + 6w = 0 Combine like terms: -3w + 6w = 3w 25 + 3w = 0 Solving 25 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3w = 0 + -25 3w = 0 + -25 Combine like terms: 0 + -25 = -25 3w = -25 Divide each side by '3'. w = -8.333333333 Simplifying w = -8.333333333
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