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Simplifying 6(z + -3) + 8z + -4 = 0 Reorder the terms: 6(-3 + z) + 8z + -4 = 0 (-3 * 6 + z * 6) + 8z + -4 = 0 (-18 + 6z) + 8z + -4 = 0 Reorder the terms: -18 + -4 + 6z + 8z = 0 Combine like terms: -18 + -4 = -22 -22 + 6z + 8z = 0 Combine like terms: 6z + 8z = 14z -22 + 14z = 0 Solving -22 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 14z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 14z = 0 + 22 14z = 0 + 22 Combine like terms: 0 + 22 = 22 14z = 22 Divide each side by '14'. z = 1.571428571 Simplifying z = 1.571428571
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