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Simplifying z + -6z = 4z + -3 + -1z Combine like terms: z + -6z = -5z -5z = 4z + -3 + -1z Reorder the terms: -5z = -3 + 4z + -1z Combine like terms: 4z + -1z = 3z -5z = -3 + 3z Solving -5z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -5z + -3z = -3 + 3z + -3z Combine like terms: -5z + -3z = -8z -8z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -8z = -3 + 0 -8z = -3 Divide each side by '-8'. z = 0.375 Simplifying z = 0.375
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