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Simplifying 5 + 16z + -4 = 7z + 66 + -4z Reorder the terms: 5 + -4 + 16z = 7z + 66 + -4z Combine like terms: 5 + -4 = 1 1 + 16z = 7z + 66 + -4z Reorder the terms: 1 + 16z = 66 + 7z + -4z Combine like terms: 7z + -4z = 3z 1 + 16z = 66 + 3z Solving 1 + 16z = 66 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 1 + 16z + -3z = 66 + 3z + -3z Combine like terms: 16z + -3z = 13z 1 + 13z = 66 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 13z = 66 + 0 1 + 13z = 66 Add '-1' to each side of the equation. 1 + -1 + 13z = 66 + -1 Combine like terms: 1 + -1 = 0 0 + 13z = 66 + -1 13z = 66 + -1 Combine like terms: 66 + -1 = 65 13z = 65 Divide each side by '13'. z = 5 Simplifying z = 5
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