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Simplifying 6 + 15z + -5 = 9z + 66 + -7z Reorder the terms: 6 + -5 + 15z = 9z + 66 + -7z Combine like terms: 6 + -5 = 1 1 + 15z = 9z + 66 + -7z Reorder the terms: 1 + 15z = 66 + 9z + -7z Combine like terms: 9z + -7z = 2z 1 + 15z = 66 + 2z Solving 1 + 15z = 66 + 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. 1 + 15z + -2z = 66 + 2z + -2z Combine like terms: 15z + -2z = 13z 1 + 13z = 66 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 13z = 66 + 0 1 + 13z = 66 Add '-1' to each side of the equation. 1 + -1 + 13z = 66 + -1 Combine like terms: 1 + -1 = 0 0 + 13z = 66 + -1 13z = 66 + -1 Combine like terms: 66 + -1 = 65 13z = 65 Divide each side by '13'. z = 5 Simplifying z = 5
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