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Simplifying 6z + -1(z + -9) = 20 + 16 Reorder the terms: 6z + -1(-9 + z) = 20 + 16 6z + (-9 * -1 + z * -1) = 20 + 16 6z + (9 + -1z) = 20 + 16 Reorder the terms: 9 + 6z + -1z = 20 + 16 Combine like terms: 6z + -1z = 5z 9 + 5z = 20 + 16 Combine like terms: 20 + 16 = 36 9 + 5z = 36 Solving 9 + 5z = 36 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5z = 36 + -9 Combine like terms: 9 + -9 = 0 0 + 5z = 36 + -9 5z = 36 + -9 Combine like terms: 36 + -9 = 27 5z = 27 Divide each side by '5'. z = 5.4 Simplifying z = 5.4
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