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Simplifying 7 + 16z + -5 = 6z + 28 + -3z Reorder the terms: 7 + -5 + 16z = 6z + 28 + -3z Combine like terms: 7 + -5 = 2 2 + 16z = 6z + 28 + -3z Reorder the terms: 2 + 16z = 28 + 6z + -3z Combine like terms: 6z + -3z = 3z 2 + 16z = 28 + 3z Solving 2 + 16z = 28 + 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. 2 + 16z + -3z = 28 + 3z + -3z Combine like terms: 16z + -3z = 13z 2 + 13z = 28 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 13z = 28 + 0 2 + 13z = 28 Add '-2' to each side of the equation. 2 + -2 + 13z = 28 + -2 Combine like terms: 2 + -2 = 0 0 + 13z = 28 + -2 13z = 28 + -2 Combine like terms: 28 + -2 = 26 13z = 26 Divide each side by '13'. z = 2 Simplifying z = 2
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