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Simplifying 6 + 5z + -1 = 9z + 15 + -2z Reorder the terms: 6 + -1 + 5z = 9z + 15 + -2z Combine like terms: 6 + -1 = 5 5 + 5z = 9z + 15 + -2z Reorder the terms: 5 + 5z = 15 + 9z + -2z Combine like terms: 9z + -2z = 7z 5 + 5z = 15 + 7z Solving 5 + 5z = 15 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 5 + 5z + -7z = 15 + 7z + -7z Combine like terms: 5z + -7z = -2z 5 + -2z = 15 + 7z + -7z Combine like terms: 7z + -7z = 0 5 + -2z = 15 + 0 5 + -2z = 15 Add '-5' to each side of the equation. 5 + -5 + -2z = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -2z = 15 + -5 -2z = 15 + -5 Combine like terms: 15 + -5 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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