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Simplifying z + -3z = 5z + -1 + -1z Combine like terms: z + -3z = -2z -2z = 5z + -1 + -1z Reorder the terms: -2z = -1 + 5z + -1z Combine like terms: 5z + -1z = 4z -2z = -1 + 4z Solving -2z = -1 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -2z + -4z = -1 + 4z + -4z Combine like terms: -2z + -4z = -6z -6z = -1 + 4z + -4z Combine like terms: 4z + -4z = 0 -6z = -1 + 0 -6z = -1 Divide each side by '-6'. z = 0.1666666667 Simplifying z = 0.1666666667
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