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Simplifying 10z + 30 + -4z + -4 = 2z + -4 + 3z + -9 Reorder the terms: 30 + -4 + 10z + -4z = 2z + -4 + 3z + -9 Combine like terms: 30 + -4 = 26 26 + 10z + -4z = 2z + -4 + 3z + -9 Combine like terms: 10z + -4z = 6z 26 + 6z = 2z + -4 + 3z + -9 Reorder the terms: 26 + 6z = -4 + -9 + 2z + 3z Combine like terms: -4 + -9 = -13 26 + 6z = -13 + 2z + 3z Combine like terms: 2z + 3z = 5z 26 + 6z = -13 + 5z Solving 26 + 6z = -13 + 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. 26 + 6z + -5z = -13 + 5z + -5z Combine like terms: 6z + -5z = 1z 26 + 1z = -13 + 5z + -5z Combine like terms: 5z + -5z = 0 26 + 1z = -13 + 0 26 + 1z = -13 Add '-26' to each side of the equation. 26 + -26 + 1z = -13 + -26 Combine like terms: 26 + -26 = 0 0 + 1z = -13 + -26 1z = -13 + -26 Combine like terms: -13 + -26 = -39 1z = -39 Divide each side by '1'. z = -39 Simplifying z = -39
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