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Simplifying 2z = 3(14 + -1z) + 3 2z = (14 * 3 + -1z * 3) + 3 2z = (42 + -3z) + 3 Reorder the terms: 2z = 42 + 3 + -3z Combine like terms: 42 + 3 = 45 2z = 45 + -3z Solving 2z = 45 + -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. 2z + 3z = 45 + -3z + 3z Combine like terms: 2z + 3z = 5z 5z = 45 + -3z + 3z Combine like terms: -3z + 3z = 0 5z = 45 + 0 5z = 45 Divide each side by '5'. z = 9 Simplifying z = 9
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