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Simplifying 12 + -2(3w + -8) = 0 Reorder the terms: 12 + -2(-8 + 3w) = 0 12 + (-8 * -2 + 3w * -2) = 0 12 + (16 + -6w) = 0 Combine like terms: 12 + 16 = 28 28 + -6w = 0 Solving 28 + -6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -6w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -6w = 0 + -28 -6w = 0 + -28 Combine like terms: 0 + -28 = -28 -6w = -28 Divide each side by '-6'. w = 4.666666667 Simplifying w = 4.666666667
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