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Simplifying 9 + 15z + -2 = 8z + 46 + -6z Reorder the terms: 9 + -2 + 15z = 8z + 46 + -6z Combine like terms: 9 + -2 = 7 7 + 15z = 8z + 46 + -6z Reorder the terms: 7 + 15z = 46 + 8z + -6z Combine like terms: 8z + -6z = 2z 7 + 15z = 46 + 2z Solving 7 + 15z = 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. 7 + 15z + -2z = 46 + 2z + -2z Combine like terms: 15z + -2z = 13z 7 + 13z = 46 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + 13z = 46 + 0 7 + 13z = 46 Add '-7' to each side of the equation. 7 + -7 + 13z = 46 + -7 Combine like terms: 7 + -7 = 0 0 + 13z = 46 + -7 13z = 46 + -7 Combine like terms: 46 + -7 = 39 13z = 39 Divide each side by '13'. z = 3 Simplifying z = 3
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