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Simplifying 9(z + 3) + -5z = 51 Reorder the terms: 9(3 + z) + -5z = 51 (3 * 9 + z * 9) + -5z = 51 (27 + 9z) + -5z = 51 Combine like terms: 9z + -5z = 4z 27 + 4z = 51 Solving 27 + 4z = 51 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4z = 51 + -27 Combine like terms: 27 + -27 = 0 0 + 4z = 51 + -27 4z = 51 + -27 Combine like terms: 51 + -27 = 24 4z = 24 Divide each side by '4'. z = 6 Simplifying z = 6
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