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Simplifying 8z + 3 + -4z = 7 + 3z + 1 Reorder the terms: 3 + 8z + -4z = 7 + 3z + 1 Combine like terms: 8z + -4z = 4z 3 + 4z = 7 + 3z + 1 Reorder the terms: 3 + 4z = 7 + 1 + 3z Combine like terms: 7 + 1 = 8 3 + 4z = 8 + 3z Solving 3 + 4z = 8 + 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. 3 + 4z + -3z = 8 + 3z + -3z Combine like terms: 4z + -3z = 1z 3 + 1z = 8 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 1z = 8 + 0 3 + 1z = 8 Add '-3' to each side of the equation. 3 + -3 + 1z = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 8 + -3 1z = 8 + -3 Combine like terms: 8 + -3 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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