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Simplifying -1z + 9 = z + -5 + 4z Reorder the terms: 9 + -1z = z + -5 + 4z Reorder the terms: 9 + -1z = -5 + z + 4z Combine like terms: z + 4z = 5z 9 + -1z = -5 + 5z Solving 9 + -1z = -5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + -1z + -5z = -5 + 5z + -5z Combine like terms: -1z + -5z = -6z 9 + -6z = -5 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + -6z = -5 + 0 9 + -6z = -5 Add '-9' to each side of the equation. 9 + -9 + -6z = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -6z = -5 + -9 -6z = -5 + -9 Combine like terms: -5 + -9 = -14 -6z = -14 Divide each side by '-6'. z = 2.333333333 Simplifying z = 2.333333333
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