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Simplifying 9z + 10 + -5z = 2 + 3z + 6 Reorder the terms: 10 + 9z + -5z = 2 + 3z + 6 Combine like terms: 9z + -5z = 4z 10 + 4z = 2 + 3z + 6 Reorder the terms: 10 + 4z = 2 + 6 + 3z Combine like terms: 2 + 6 = 8 10 + 4z = 8 + 3z Solving 10 + 4z = 8 + 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 = 8 + 3z + -3z Combine like terms: 4z + -3z = 1z 10 + 1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 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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