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Simplifying (-5) + 3(1 + -9z) = 146.5 -5 + 3(1 + -9z) = 146.5 -5 + (1 * 3 + -9z * 3) = 146.5 -5 + (3 + -27z) = 146.5 Combine like terms: -5 + 3 = -2 -2 + -27z = 146.5 Solving -2 + -27z = 146.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -27z = 146.5 + 2 Combine like terms: -2 + 2 = 0 0 + -27z = 146.5 + 2 -27z = 146.5 + 2 Combine like terms: 146.5 + 2 = 148.5 -27z = 148.5 Divide each side by '-27'. z = -5.5 Simplifying z = -5.5
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