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Simplifying 3(2z + 1) + -6 = 51 Reorder the terms: 3(1 + 2z) + -6 = 51 (1 * 3 + 2z * 3) + -6 = 51 (3 + 6z) + -6 = 51 Reorder the terms: 3 + -6 + 6z = 51 Combine like terms: 3 + -6 = -3 -3 + 6z = 51 Solving -3 + 6z = 51 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 + 6z = 51 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = 51 + 3 6z = 51 + 3 Combine like terms: 51 + 3 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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