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Simplifying 6(z + -4) + 8z + -2 = 0 Reorder the terms: 6(-4 + z) + 8z + -2 = 0 (-4 * 6 + z * 6) + 8z + -2 = 0 (-24 + 6z) + 8z + -2 = 0 Reorder the terms: -24 + -2 + 6z + 8z = 0 Combine like terms: -24 + -2 = -26 -26 + 6z + 8z = 0 Combine like terms: 6z + 8z = 14z -26 + 14z = 0 Solving -26 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 14z = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 14z = 0 + 26 14z = 0 + 26 Combine like terms: 0 + 26 = 26 14z = 26 Divide each side by '14'. z = 1.857142857 Simplifying z = 1.857142857
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