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Simplifying 4(5z + 1) + -8 = 116 Reorder the terms: 4(1 + 5z) + -8 = 116 (1 * 4 + 5z * 4) + -8 = 116 (4 + 20z) + -8 = 116 Reorder the terms: 4 + -8 + 20z = 116 Combine like terms: 4 + -8 = -4 -4 + 20z = 116 Solving -4 + 20z = 116 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 = 116 + 4 Combine like terms: -4 + 4 = 0 0 + 20z = 116 + 4 20z = 116 + 4 Combine like terms: 116 + 4 = 120 20z = 120 Divide each side by '20'. z = 6 Simplifying z = 6
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