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Simplifying 2(6z + 1) + -9 = 65 Reorder the terms: 2(1 + 6z) + -9 = 65 (1 * 2 + 6z * 2) + -9 = 65 (2 + 12z) + -9 = 65 Reorder the terms: 2 + -9 + 12z = 65 Combine like terms: 2 + -9 = -7 -7 + 12z = 65 Solving -7 + 12z = 65 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12z = 65 + 7 Combine like terms: -7 + 7 = 0 0 + 12z = 65 + 7 12z = 65 + 7 Combine like terms: 65 + 7 = 72 12z = 72 Divide each side by '12'. z = 6 Simplifying z = 6
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