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Simplifying z + -4z = 6z + -7 + -1z Combine like terms: z + -4z = -3z -3z = 6z + -7 + -1z Reorder the terms: -3z = -7 + 6z + -1z Combine like terms: 6z + -1z = 5z -3z = -7 + 5z Solving -3z = -7 + 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. -3z + -5z = -7 + 5z + -5z Combine like terms: -3z + -5z = -8z -8z = -7 + 5z + -5z Combine like terms: 5z + -5z = 0 -8z = -7 + 0 -8z = -7 Divide each side by '-8'. z = 0.875 Simplifying z = 0.875
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