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Simplifying 3(2z + 1) + -32 = 0 Reorder the terms: 3(1 + 2z) + -32 = 0 (1 * 3 + 2z * 3) + -32 = 0 (3 + 6z) + -32 = 0 Reorder the terms: 3 + -32 + 6z = 0 Combine like terms: 3 + -32 = -29 -29 + 6z = 0 Solving -29 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 6z = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 6z = 0 + 29 6z = 0 + 29 Combine like terms: 0 + 29 = 29 6z = 29 Divide each side by '6'. z = 4.833333333 Simplifying z = 4.833333333
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