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Simplifying 5(5z + 1) + -8 = 172 Reorder the terms: 5(1 + 5z) + -8 = 172 (1 * 5 + 5z * 5) + -8 = 172 (5 + 25z) + -8 = 172 Reorder the terms: 5 + -8 + 25z = 172 Combine like terms: 5 + -8 = -3 -3 + 25z = 172 Solving -3 + 25z = 172 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 + 25z = 172 + 3 Combine like terms: -3 + 3 = 0 0 + 25z = 172 + 3 25z = 172 + 3 Combine like terms: 172 + 3 = 175 25z = 175 Divide each side by '25'. z = 7 Simplifying z = 7
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