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