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Simplifying -9 + 8(1 + 3z) = 34 -9 + (1 * 8 + 3z * 8) = 34 -9 + (8 + 24z) = 34 Combine like terms: -9 + 8 = -1 -1 + 24z = 34 Solving -1 + 24z = 34 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 24z = 34 + 1 Combine like terms: -1 + 1 = 0 0 + 24z = 34 + 1 24z = 34 + 1 Combine like terms: 34 + 1 = 35 24z = 35 Divide each side by '24'. z = 1.458333333 Simplifying z = 1.458333333
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