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Simplifying 5(z + 6) = 32n + 3 Reorder the terms: 5(6 + z) = 32n + 3 (6 * 5 + z * 5) = 32n + 3 (30 + 5z) = 32n + 3 Reorder the terms: 30 + 5z = 3 + 32n Solving 30 + 5z = 3 + 32n Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5z = 3 + -30 + 32n Combine like terms: 30 + -30 = 0 0 + 5z = 3 + -30 + 32n 5z = 3 + -30 + 32n Combine like terms: 3 + -30 = -27 5z = -27 + 32n Divide each side by '5'. z = -5.4 + 6.4n Simplifying z = -5.4 + 6.4n
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