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Simplifying 5 + 13z + -3 = 9z + 46 + -7z Reorder the terms: 5 + -3 + 13z = 9z + 46 + -7z Combine like terms: 5 + -3 = 2 2 + 13z = 9z + 46 + -7z Reorder the terms: 2 + 13z = 46 + 9z + -7z Combine like terms: 9z + -7z = 2z 2 + 13z = 46 + 2z Solving 2 + 13z = 46 + 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. 2 + 13z + -2z = 46 + 2z + -2z Combine like terms: 13z + -2z = 11z 2 + 11z = 46 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 11z = 46 + 0 2 + 11z = 46 Add '-2' to each side of the equation. 2 + -2 + 11z = 46 + -2 Combine like terms: 2 + -2 = 0 0 + 11z = 46 + -2 11z = 46 + -2 Combine like terms: 46 + -2 = 44 11z = 44 Divide each side by '11'. z = 4 Simplifying z = 4
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