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Simplifying 4(8 + 3z) + 1 = 0 (8 * 4 + 3z * 4) + 1 = 0 (32 + 12z) + 1 = 0 Reorder the terms: 32 + 1 + 12z = 0 Combine like terms: 32 + 1 = 33 33 + 12z = 0 Solving 33 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 12z = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 12z = 0 + -33 12z = 0 + -33 Combine like terms: 0 + -33 = -33 12z = -33 Divide each side by '12'. z = -2.75 Simplifying z = -2.75
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