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Simplifying 8z + 7z = z + -1 + -4z Combine like terms: 8z + 7z = 15z 15z = z + -1 + -4z Reorder the terms: 15z = -1 + z + -4z Combine like terms: z + -4z = -3z 15z = -1 + -3z Solving 15z = -1 + -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. 15z + 3z = -1 + -3z + 3z Combine like terms: 15z + 3z = 18z 18z = -1 + -3z + 3z Combine like terms: -3z + 3z = 0 18z = -1 + 0 18z = -1 Divide each side by '18'. z = -0.05555555556 Simplifying z = -0.05555555556
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