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Simplifying 5(6z + 1) + -6 = 179 Reorder the terms: 5(1 + 6z) + -6 = 179 (1 * 5 + 6z * 5) + -6 = 179 (5 + 30z) + -6 = 179 Reorder the terms: 5 + -6 + 30z = 179 Combine like terms: 5 + -6 = -1 -1 + 30z = 179 Solving -1 + 30z = 179 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 + 30z = 179 + 1 Combine like terms: -1 + 1 = 0 0 + 30z = 179 + 1 30z = 179 + 1 Combine like terms: 179 + 1 = 180 30z = 180 Divide each side by '30'. z = 6 Simplifying z = 6
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