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Simplifying 3z + -5z = z + -3 + -5z Combine like terms: 3z + -5z = -2z -2z = z + -3 + -5z Reorder the terms: -2z = -3 + z + -5z Combine like terms: z + -5z = -4z -2z = -3 + -4z Solving -2z = -3 + -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 = -3 + -4z + 4z Combine like terms: -2z + 4z = 2z 2z = -3 + -4z + 4z Combine like terms: -4z + 4z = 0 2z = -3 + 0 2z = -3 Divide each side by '2'. z = -1.5 Simplifying z = -1.5
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