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Simplifying -5z + -3z = z + 1 + -4z Combine like terms: -5z + -3z = -8z -8z = z + 1 + -4z Reorder the terms: -8z = 1 + z + -4z Combine like terms: z + -4z = -3z -8z = 1 + -3z Solving -8z = 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. -8z + 3z = 1 + -3z + 3z Combine like terms: -8z + 3z = -5z -5z = 1 + -3z + 3z Combine like terms: -3z + 3z = 0 -5z = 1 + 0 -5z = 1 Divide each side by '-5'. z = -0.2 Simplifying z = -0.2
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