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Simplifying z + -2z + 4z + 6 = 0 Reorder the terms: 6 + z + -2z + 4z = 0 Combine like terms: z + -2z = -1z 6 + -1z + 4z = 0 Combine like terms: -1z + 4z = 3z 6 + 3z = 0 Solving 6 + 3z = 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 + 3z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 0 + -6 3z = 0 + -6 Combine like terms: 0 + -6 = -6 3z = -6 Divide each side by '3'. z = -2 Simplifying z = -2
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