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Simplifying 2(5z + 1) + -7 = 75 Reorder the terms: 2(1 + 5z) + -7 = 75 (1 * 2 + 5z * 2) + -7 = 75 (2 + 10z) + -7 = 75 Reorder the terms: 2 + -7 + 10z = 75 Combine like terms: 2 + -7 = -5 -5 + 10z = 75 Solving -5 + 10z = 75 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 10z = 75 + 5 Combine like terms: -5 + 5 = 0 0 + 10z = 75 + 5 10z = 75 + 5 Combine like terms: 75 + 5 = 80 10z = 80 Divide each side by '10'. z = 8 Simplifying z = 8
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