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Simplifying 8z + 2 + -4z = 5 + 3z + -2 Reorder the terms: 2 + 8z + -4z = 5 + 3z + -2 Combine like terms: 8z + -4z = 4z 2 + 4z = 5 + 3z + -2 Reorder the terms: 2 + 4z = 5 + -2 + 3z Combine like terms: 5 + -2 = 3 2 + 4z = 3 + 3z Solving 2 + 4z = 3 + 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. 2 + 4z + -3z = 3 + 3z + -3z Combine like terms: 4z + -3z = 1z 2 + 1z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 1z = 3 + 0 2 + 1z = 3 Add '-2' to each side of the equation. 2 + -2 + 1z = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 3 + -2 1z = 3 + -2 Combine like terms: 3 + -2 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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