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Simplifying 7 + 15z + -3 = 8z + 43 + -6z Reorder the terms: 7 + -3 + 15z = 8z + 43 + -6z Combine like terms: 7 + -3 = 4 4 + 15z = 8z + 43 + -6z Reorder the terms: 4 + 15z = 43 + 8z + -6z Combine like terms: 8z + -6z = 2z 4 + 15z = 43 + 2z Solving 4 + 15z = 43 + 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. 4 + 15z + -2z = 43 + 2z + -2z Combine like terms: 15z + -2z = 13z 4 + 13z = 43 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 13z = 43 + 0 4 + 13z = 43 Add '-4' to each side of the equation. 4 + -4 + 13z = 43 + -4 Combine like terms: 4 + -4 = 0 0 + 13z = 43 + -4 13z = 43 + -4 Combine like terms: 43 + -4 = 39 13z = 39 Divide each side by '13'. z = 3 Simplifying z = 3
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