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Simplifying 10z + 4 = 6z + 16 Reorder the terms: 4 + 10z = 6z + 16 Reorder the terms: 4 + 10z = 16 + 6z Solving 4 + 10z = 16 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 4 + 10z + -6z = 16 + 6z + -6z Combine like terms: 10z + -6z = 4z 4 + 4z = 16 + 6z + -6z Combine like terms: 6z + -6z = 0 4 + 4z = 16 + 0 4 + 4z = 16 Add '-4' to each side of the equation. 4 + -4 + 4z = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 4z = 16 + -4 4z = 16 + -4 Combine like terms: 16 + -4 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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