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Simplifying 5(4z + 1) + -9 = 156 Reorder the terms: 5(1 + 4z) + -9 = 156 (1 * 5 + 4z * 5) + -9 = 156 (5 + 20z) + -9 = 156 Reorder the terms: 5 + -9 + 20z = 156 Combine like terms: 5 + -9 = -4 -4 + 20z = 156 Solving -4 + 20z = 156 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 20z = 156 + 4 Combine like terms: -4 + 4 = 0 0 + 20z = 156 + 4 20z = 156 + 4 Combine like terms: 156 + 4 = 160 20z = 160 Divide each side by '20'. z = 8 Simplifying z = 8
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