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Simplifying -5(3z + -4) + 9z = -4 Reorder the terms: -5(-4 + 3z) + 9z = -4 (-4 * -5 + 3z * -5) + 9z = -4 (20 + -15z) + 9z = -4 Combine like terms: -15z + 9z = -6z 20 + -6z = -4 Solving 20 + -6z = -4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -6z = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -6z = -4 + -20 -6z = -4 + -20 Combine like terms: -4 + -20 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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