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Simplifying 6 + 2z + -2 = 8z + -5z Reorder the terms: 6 + -2 + 2z = 8z + -5z Combine like terms: 6 + -2 = 4 4 + 2z = 8z + -5z Combine like terms: 8z + -5z = 3z 4 + 2z = 3z Solving 4 + 2z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + 2z + -3z = 3z + -3z Combine like terms: 2z + -3z = -1z 4 + -1z = 3z + -3z Combine like terms: 3z + -3z = 0 4 + -1z = 0 Add '-4' to each side of the equation. 4 + -4 + -1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 0 + -4 -1z = 0 + -4 Combine like terms: 0 + -4 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4
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