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Simplifying 6 + -4z + 2 = 5z + -2 + z Reorder the terms: 6 + 2 + -4z = 5z + -2 + z Combine like terms: 6 + 2 = 8 8 + -4z = 5z + -2 + z Reorder the terms: 8 + -4z = -2 + 5z + z Combine like terms: 5z + z = 6z 8 + -4z = -2 + 6z Solving 8 + -4z = -2 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 8 + -4z + -6z = -2 + 6z + -6z Combine like terms: -4z + -6z = -10z 8 + -10z = -2 + 6z + -6z Combine like terms: 6z + -6z = 0 8 + -10z = -2 + 0 8 + -10z = -2 Add '-8' to each side of the equation. 8 + -8 + -10z = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -10z = -2 + -8 -10z = -2 + -8 Combine like terms: -2 + -8 = -10 -10z = -10 Divide each side by '-10'. z = 1 Simplifying z = 1
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