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Simplifying z + 5z + -2z + -2 = 6 Reorder the terms: -2 + z + 5z + -2z = 6 Combine like terms: z + 5z = 6z -2 + 6z + -2z = 6 Combine like terms: 6z + -2z = 4z -2 + 4z = 6 Solving -2 + 4z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4z = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4z = 6 + 2 4z = 6 + 2 Combine like terms: 6 + 2 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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