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Simplifying 8z + 4 + -4z = 2 + 3z + 10 Reorder the terms: 4 + 8z + -4z = 2 + 3z + 10 Combine like terms: 8z + -4z = 4z 4 + 4z = 2 + 3z + 10 Reorder the terms: 4 + 4z = 2 + 10 + 3z Combine like terms: 2 + 10 = 12 4 + 4z = 12 + 3z Solving 4 + 4z = 12 + 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 + 4z + -3z = 12 + 3z + -3z Combine like terms: 4z + -3z = 1z 4 + 1z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 1z = 12 + 0 4 + 1z = 12 Add '-4' to each side of the equation. 4 + -4 + 1z = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 12 + -4 1z = 12 + -4 Combine like terms: 12 + -4 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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