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Simplifying 8 + 4z + -2 = 3z + 2 Reorder the terms: 8 + -2 + 4z = 3z + 2 Combine like terms: 8 + -2 = 6 6 + 4z = 3z + 2 Reorder the terms: 6 + 4z = 2 + 3z Solving 6 + 4z = 2 + 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. 6 + 4z + -3z = 2 + 3z + -3z Combine like terms: 4z + -3z = 1z 6 + 1z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 6 + 1z = 2 + 0 6 + 1z = 2 Add '-6' to each side of the equation. 6 + -6 + 1z = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 2 + -6 1z = 2 + -6 Combine like terms: 2 + -6 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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