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Simplifying 1 + 5(4z + 8) = 39 Reorder the terms: 1 + 5(8 + 4z) = 39 1 + (8 * 5 + 4z * 5) = 39 1 + (40 + 20z) = 39 Combine like terms: 1 + 40 = 41 41 + 20z = 39 Solving 41 + 20z = 39 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 20z = 39 + -41 Combine like terms: 41 + -41 = 0 0 + 20z = 39 + -41 20z = 39 + -41 Combine like terms: 39 + -41 = -2 20z = -2 Divide each side by '20'. z = -0.1 Simplifying z = -0.1
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