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Simplifying 8z + 10 + -4 = 9 + 3z + 2 Reorder the terms: 10 + -4 + 8z = 9 + 3z + 2 Combine like terms: 10 + -4 = 6 6 + 8z = 9 + 3z + 2 Reorder the terms: 6 + 8z = 9 + 2 + 3z Combine like terms: 9 + 2 = 11 6 + 8z = 11 + 3z Solving 6 + 8z = 11 + 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. 6 + 8z + -3z = 11 + 3z + -3z Combine like terms: 8z + -3z = 5z 6 + 5z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + 5z = 11 + 0 6 + 5z = 11 Add '-6' to each side of the equation. 6 + -6 + 5z = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 5z = 11 + -6 5z = 11 + -6 Combine like terms: 11 + -6 = 5 5z = 5 Divide each side by '5'. z = 1 Simplifying z = 1
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