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Simplifying 5 + 7 + -1z + 6z + -2z = 0 Combine like terms: 5 + 7 = 12 12 + -1z + 6z + -2z = 0 Combine like terms: -1z + 6z = 5z 12 + 5z + -2z = 0 Combine like terms: 5z + -2z = 3z 12 + 3z = 0 Solving 12 + 3z = 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 + 3z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 0 + -12 3z = 0 + -12 Combine like terms: 0 + -12 = -12 3z = -12 Divide each side by '3'. z = -4 Simplifying z = -4
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