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Simplifying 5z = -3(z + 7) Reorder the terms: 5z = -3(7 + z) 5z = (7 * -3 + z * -3) 5z = (-21 + -3z) Solving 5z = -21 + -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 = -21 + -3z + 3z Combine like terms: 5z + 3z = 8z 8z = -21 + -3z + 3z Combine like terms: -3z + 3z = 0 8z = -21 + 0 8z = -21 Divide each side by '8'. z = -2.625 Simplifying z = -2.625
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