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Simplifying 5 + -5z + 7 + z = 0 Reorder the terms: 5 + 7 + -5z + z = 0 Combine like terms: 5 + 7 = 12 12 + -5z + z = 0 Combine like terms: -5z + z = -4z 12 + -4z = 0 Solving 12 + -4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = 0 + -12 -4z = 0 + -12 Combine like terms: 0 + -12 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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