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Simplifying 6 + -6z = 5z + -4 + -1z Reorder the terms: 6 + -6z = -4 + 5z + -1z Combine like terms: 5z + -1z = 4z 6 + -6z = -4 + 4z Solving 6 + -6z = -4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 6 + -6z + -4z = -4 + 4z + -4z Combine like terms: -6z + -4z = -10z 6 + -10z = -4 + 4z + -4z Combine like terms: 4z + -4z = 0 6 + -10z = -4 + 0 6 + -10z = -4 Add '-6' to each side of the equation. 6 + -6 + -10z = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -10z = -4 + -6 -10z = -4 + -6 Combine like terms: -4 + -6 = -10 -10z = -10 Divide each side by '-10'. z = 1 Simplifying z = 1
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