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Simplifying 5z = -3(z + 3) Reorder the terms: 5z = -3(3 + z) 5z = (3 * -3 + z * -3) 5z = (-9 + -3z) Solving 5z = -9 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 5z + 3z = -9 + -3z + 3z Combine like terms: 5z + 3z = 8z 8z = -9 + -3z + 3z Combine like terms: -3z + 3z = 0 8z = -9 + 0 8z = -9 Divide each side by '8'. z = -1.125 Simplifying z = -1.125
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