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Simplifying 10z + 5 + 4z = -1 + 4z + 16 Reorder the terms: 5 + 10z + 4z = -1 + 4z + 16 Combine like terms: 10z + 4z = 14z 5 + 14z = -1 + 4z + 16 Reorder the terms: 5 + 14z = -1 + 16 + 4z Combine like terms: -1 + 16 = 15 5 + 14z = 15 + 4z Solving 5 + 14z = 15 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + 14z + -4z = 15 + 4z + -4z Combine like terms: 14z + -4z = 10z 5 + 10z = 15 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 10z = 15 + 0 5 + 10z = 15 Add '-5' to each side of the equation. 5 + -5 + 10z = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 10z = 15 + -5 10z = 15 + -5 Combine like terms: 15 + -5 = 10 10z = 10 Divide each side by '10'. z = 1 Simplifying z = 1
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