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Simplifying 8z + -1 = 3z + -1 Reorder the terms: -1 + 8z = 3z + -1 Reorder the terms: -1 + 8z = -1 + 3z Add '1' to each side of the equation. -1 + 1 + 8z = -1 + 1 + 3z Combine like terms: -1 + 1 = 0 0 + 8z = -1 + 1 + 3z 8z = -1 + 1 + 3z Combine like terms: -1 + 1 = 0 8z = 0 + 3z 8z = 3z Solving 8z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8z + -3z = 3z + -3z Combine like terms: 8z + -3z = 5z 5z = 3z + -3z Combine like terms: 3z + -3z = 0 5z = 0 Divide each side by '5'. z = 0 Simplifying z = 0
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