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Simplifying 3 + 8 + -3z + -5 + -9z + -1 + -6 + -4 = 0 Reorder the terms: 3 + 8 + -5 + -1 + -6 + -4 + -3z + -9z = 0 Combine like terms: 3 + 8 = 11 11 + -5 + -1 + -6 + -4 + -3z + -9z = 0 Combine like terms: 11 + -5 = 6 6 + -1 + -6 + -4 + -3z + -9z = 0 Combine like terms: 6 + -1 = 5 5 + -6 + -4 + -3z + -9z = 0 Combine like terms: 5 + -6 = -1 -1 + -4 + -3z + -9z = 0 Combine like terms: -1 + -4 = -5 -5 + -3z + -9z = 0 Combine like terms: -3z + -9z = -12z -5 + -12z = 0 Solving -5 + -12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -12z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12z = 0 + 5 -12z = 0 + 5 Combine like terms: 0 + 5 = 5 -12z = 5 Divide each side by '-12'. z = -0.4166666667 Simplifying z = -0.4166666667
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