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Simplifying -6 + -9(3z + 4) = 0 Reorder the terms: -6 + -9(4 + 3z) = 0 -6 + (4 * -9 + 3z * -9) = 0 -6 + (-36 + -27z) = 0 Combine like terms: -6 + -36 = -42 -42 + -27z = 0 Solving -42 + -27z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -27z = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -27z = 0 + 42 -27z = 0 + 42 Combine like terms: 0 + 42 = 42 -27z = 42 Divide each side by '-27'. z = -1.555555556 Simplifying z = -1.555555556
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