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Simplifying (3z) * 4 + 3 = 0 Remove parenthesis around (3z) 3z * 4 + 3 = 0 Reorder the terms for easier multiplication: 3 * 4z + 3 = 0 Multiply 3 * 4 12z + 3 = 0 Reorder the terms: 3 + 12z = 0 Solving 3 + 12z = 0 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 + 12z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 12z = 0 + -3 12z = 0 + -3 Combine like terms: 0 + -3 = -3 12z = -3 Divide each side by '12'. z = -0.25 Simplifying z = -0.25
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