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Simplifying -4z + z + -3(8z + 6) = 0 Reorder the terms: -4z + z + -3(6 + 8z) = 0 -4z + z + (6 * -3 + 8z * -3) = 0 -4z + z + (-18 + -24z) = 0 Reorder the terms: -18 + -4z + z + -24z = 0 Combine like terms: -4z + z = -3z -18 + -3z + -24z = 0 Combine like terms: -3z + -24z = -27z -18 + -27z = 0 Solving -18 + -27z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -27z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -27z = 0 + 18 -27z = 0 + 18 Combine like terms: 0 + 18 = 18 -27z = 18 Divide each side by '-27'. z = -0.6666666667 Simplifying z = -0.6666666667
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