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Simplifying 39 = -3(23 + -1z) + 3(z + -2) 39 = (23 * -3 + -1z * -3) + 3(z + -2) 39 = (-69 + 3z) + 3(z + -2) Reorder the terms: 39 = -69 + 3z + 3(-2 + z) 39 = -69 + 3z + (-2 * 3 + z * 3) 39 = -69 + 3z + (-6 + 3z) Reorder the terms: 39 = -69 + -6 + 3z + 3z Combine like terms: -69 + -6 = -75 39 = -75 + 3z + 3z Combine like terms: 3z + 3z = 6z 39 = -75 + 6z Solving 39 = -75 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 39 + -6z = -75 + 6z + -6z Combine like terms: 6z + -6z = 0 39 + -6z = -75 + 0 39 + -6z = -75 Add '-39' to each side of the equation. 39 + -39 + -6z = -75 + -39 Combine like terms: 39 + -39 = 0 0 + -6z = -75 + -39 -6z = -75 + -39 Combine like terms: -75 + -39 = -114 -6z = -114 Divide each side by '-6'. z = 19 Simplifying z = 19
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