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Simplifying 5(4z + 1) + -7 = 138 Reorder the terms: 5(1 + 4z) + -7 = 138 (1 * 5 + 4z * 5) + -7 = 138 (5 + 20z) + -7 = 138 Reorder the terms: 5 + -7 + 20z = 138 Combine like terms: 5 + -7 = -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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