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Simplifying 5(6z + 1) + -8 = 177 Reorder the terms: 5(1 + 6z) + -8 = 177 (1 * 5 + 6z * 5) + -8 = 177 (5 + 30z) + -8 = 177 Reorder the terms: 5 + -8 + 30z = 177 Combine like terms: 5 + -8 = -3 -3 + 30z = 177 Solving -3 + 30z = 177 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 = 177 + 3 Combine like terms: -3 + 3 = 0 0 + 30z = 177 + 3 30z = 177 + 3 Combine like terms: 177 + 3 = 180 30z = 180 Divide each side by '30'. z = 6 Simplifying z = 6
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