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Simplifying z + -5z = 7z + -9 + -2 Combine like terms: z + -5z = -4z -4z = 7z + -9 + -2 Reorder the terms: -4z = -9 + -2 + 7z Combine like terms: -9 + -2 = -11 -4z = -11 + 7z Solving -4z = -11 + 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. -4z + -7z = -11 + 7z + -7z Combine like terms: -4z + -7z = -11z -11z = -11 + 7z + -7z Combine like terms: 7z + -7z = 0 -11z = -11 + 0 -11z = -11 Divide each side by '-11'. z = 1 Simplifying z = 1
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