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Simplifying 6(2z + 7) = 102 Reorder the terms: 6(7 + 2z) = 102 (7 * 6 + 2z * 6) = 102 (42 + 12z) = 102 Solving 42 + 12z = 102 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12z = 102 + -42 Combine like terms: 42 + -42 = 0 0 + 12z = 102 + -42 12z = 102 + -42 Combine like terms: 102 + -42 = 60 12z = 60 Divide each side by '12'. z = 5 Simplifying z = 5
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