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Simplifying 10z + 20 + -4z + -16 = 3z + -3 + 2z + -2 Reorder the terms: 20 + -16 + 10z + -4z = 3z + -3 + 2z + -2 Combine like terms: 20 + -16 = 4 4 + 10z + -4z = 3z + -3 + 2z + -2 Combine like terms: 10z + -4z = 6z 4 + 6z = 3z + -3 + 2z + -2 Reorder the terms: 4 + 6z = -3 + -2 + 3z + 2z Combine like terms: -3 + -2 = -5 4 + 6z = -5 + 3z + 2z Combine like terms: 3z + 2z = 5z 4 + 6z = -5 + 5z Solving 4 + 6z = -5 + 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. 4 + 6z + -5z = -5 + 5z + -5z Combine like terms: 6z + -5z = 1z 4 + 1z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 4 + 1z = -5 + 0 4 + 1z = -5 Add '-4' to each side of the equation. 4 + -4 + 1z = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -5 + -4 1z = -5 + -4 Combine like terms: -5 + -4 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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