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Simplifying 11z + -8z + -4z + 6 = 9 + -12 + 4 Reorder the terms: 6 + 11z + -8z + -4z = 9 + -12 + 4 Combine like terms: 11z + -8z = 3z 6 + 3z + -4z = 9 + -12 + 4 Combine like terms: 3z + -4z = -1z 6 + -1z = 9 + -12 + 4 Combine like terms: 9 + -12 = -3 6 + -1z = -3 + 4 Combine like terms: -3 + 4 = 1 6 + -1z = 1 Solving 6 + -1z = 1 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 + -1z = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 1 + -6 -1z = 1 + -6 Combine like terms: 1 + -6 = -5 -1z = -5 Divide each side by '-1'. z = 5 Simplifying z = 5
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