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Simplifying 2(5z + 1) + -6 = 76 Reorder the terms: 2(1 + 5z) + -6 = 76 (1 * 2 + 5z * 2) + -6 = 76 (2 + 10z) + -6 = 76 Reorder the terms: 2 + -6 + 10z = 76 Combine like terms: 2 + -6 = -4 -4 + 10z = 76 Solving -4 + 10z = 76 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 10z = 76 + 4 Combine like terms: -4 + 4 = 0 0 + 10z = 76 + 4 10z = 76 + 4 Combine like terms: 76 + 4 = 80 10z = 80 Divide each side by '10'. z = 8 Simplifying z = 8
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