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Simplifying 4 + 13z + -3 = 8z + 41 + -5z Reorder the terms: 4 + -3 + 13z = 8z + 41 + -5z Combine like terms: 4 + -3 = 1 1 + 13z = 8z + 41 + -5z Reorder the terms: 1 + 13z = 41 + 8z + -5z Combine like terms: 8z + -5z = 3z 1 + 13z = 41 + 3z Solving 1 + 13z = 41 + 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 + 13z + -3z = 41 + 3z + -3z Combine like terms: 13z + -3z = 10z 1 + 10z = 41 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + 10z = 41 + 0 1 + 10z = 41 Add '-1' to each side of the equation. 1 + -1 + 10z = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 10z = 41 + -1 10z = 41 + -1 Combine like terms: 41 + -1 = 40 10z = 40 Divide each side by '10'. z = 4 Simplifying z = 4
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