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Simplifying -1z + 7 + 4z = 0 Reorder the terms: 7 + -1z + 4z = 0 Combine like terms: -1z + 4z = 3z 7 + 3z = 0 Solving 7 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3z = 0 + -7 3z = 0 + -7 Combine like terms: 0 + -7 = -7 3z = -7 Divide each side by '3'. z = -2.333333333 Simplifying z = -2.333333333
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