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Simplifying 4(5z + 1) + -7 = 157 Reorder the terms: 4(1 + 5z) + -7 = 157 (1 * 4 + 5z * 4) + -7 = 157 (4 + 20z) + -7 = 157 Reorder the terms: 4 + -7 + 20z = 157 Combine like terms: 4 + -7 = -3 -3 + 20z = 157 Solving -3 + 20z = 157 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 20z = 157 + 3 Combine like terms: -3 + 3 = 0 0 + 20z = 157 + 3 20z = 157 + 3 Combine like terms: 157 + 3 = 160 20z = 160 Divide each side by '20'. z = 8 Simplifying z = 8
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