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Simplifying 5(6z + 1) + -8 = 147 Reorder the terms: 5(1 + 6z) + -8 = 147 (1 * 5 + 6z * 5) + -8 = 147 (5 + 30z) + -8 = 147 Reorder the terms: 5 + -8 + 30z = 147 Combine like terms: 5 + -8 = -3 -3 + 30z = 147 Solving -3 + 30z = 147 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 30z = 147 + 3 Combine like terms: -3 + 3 = 0 0 + 30z = 147 + 3 30z = 147 + 3 Combine like terms: 147 + 3 = 150 30z = 150 Divide each side by '30'. z = 5 Simplifying z = 5
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