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Simplifying 9z + 10 + -3z = 6 + 5z + 2 Reorder the terms: 10 + 9z + -3z = 6 + 5z + 2 Combine like terms: 9z + -3z = 6z 10 + 6z = 6 + 5z + 2 Reorder the terms: 10 + 6z = 6 + 2 + 5z Combine like terms: 6 + 2 = 8 10 + 6z = 8 + 5z Solving 10 + 6z = 8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 10 + 6z + -5z = 8 + 5z + -5z Combine like terms: 6z + -5z = 1z 10 + 1z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + 1z = 8 + 0 10 + 1z = 8 Add '-10' to each side of the equation. 10 + -10 + 1z = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 8 + -10 1z = 8 + -10 Combine like terms: 8 + -10 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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