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Simplifying z + 5z + -5 + 2z + -1 = 0 Reorder the terms: -5 + -1 + z + 5z + 2z = 0 Combine like terms: -5 + -1 = -6 -6 + z + 5z + 2z = 0 Combine like terms: z + 5z = 6z -6 + 6z + 2z = 0 Combine like terms: 6z + 2z = 8z -6 + 8z = 0 Solving -6 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 8z = 0 + 6 8z = 0 + 6 Combine like terms: 0 + 6 = 6 8z = 6 Divide each side by '8'. z = 0.75 Simplifying z = 0.75
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