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Simplifying 3(z + 8) + -2z = 23 Reorder the terms: 3(8 + z) + -2z = 23 (8 * 3 + z * 3) + -2z = 23 (24 + 3z) + -2z = 23 Combine like terms: 3z + -2z = 1z 24 + 1z = 23 Solving 24 + 1z = 23 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1z = 23 + -24 Combine like terms: 24 + -24 = 0 0 + 1z = 23 + -24 1z = 23 + -24 Combine like terms: 23 + -24 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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