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Simplifying 4(5z + 1) + -6 = 138 Reorder the terms: 4(1 + 5z) + -6 = 138 (1 * 4 + 5z * 4) + -6 = 138 (4 + 20z) + -6 = 138 Reorder the terms: 4 + -6 + 20z = 138 Combine like terms: 4 + -6 = -2 -2 + 20z = 138 Solving -2 + 20z = 138 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 20z = 138 + 2 Combine like terms: -2 + 2 = 0 0 + 20z = 138 + 2 20z = 138 + 2 Combine like terms: 138 + 2 = 140 20z = 140 Divide each side by '20'. z = 7 Simplifying z = 7
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