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Simplifying 3z + -1 + z + 7 = 0 Reorder the terms: -1 + 7 + 3z + z = 0 Combine like terms: -1 + 7 = 6 6 + 3z + z = 0 Combine like terms: 3z + z = 4z 6 + 4z = 0 Solving 6 + 4z = 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 + 4z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4z = 0 + -6 4z = 0 + -6 Combine like terms: 0 + -6 = -6 4z = -6 Divide each side by '4'. z = -1.5 Simplifying z = -1.5
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