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Simplifying 12z + 28 + -7z + -3 = 0 Reorder the terms: 28 + -3 + 12z + -7z = 0 Combine like terms: 28 + -3 = 25 25 + 12z + -7z = 0 Combine like terms: 12z + -7z = 5z 25 + 5z = 0 Solving 25 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 5z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 5z = 0 + -25 5z = 0 + -25 Combine like terms: 0 + -25 = -25 5z = -25 Divide each side by '5'. z = -5 Simplifying z = -5
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