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Simplifying 3 + 5z + -2 = 4z + 16 + -2z Reorder the terms: 3 + -2 + 5z = 4z + 16 + -2z Combine like terms: 3 + -2 = 1 1 + 5z = 4z + 16 + -2z Reorder the terms: 1 + 5z = 16 + 4z + -2z Combine like terms: 4z + -2z = 2z 1 + 5z = 16 + 2z Solving 1 + 5z = 16 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 5z + -2z = 16 + 2z + -2z Combine like terms: 5z + -2z = 3z 1 + 3z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 3z = 16 + 0 1 + 3z = 16 Add '-1' to each side of the equation. 1 + -1 + 3z = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 16 + -1 3z = 16 + -1 Combine like terms: 16 + -1 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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