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Simplifying 6z + 8 + -2z = 5 + 3z + 7 Reorder the terms: 8 + 6z + -2z = 5 + 3z + 7 Combine like terms: 6z + -2z = 4z 8 + 4z = 5 + 3z + 7 Reorder the terms: 8 + 4z = 5 + 7 + 3z Combine like terms: 5 + 7 = 12 8 + 4z = 12 + 3z Solving 8 + 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. 8 + 4z + -3z = 12 + 3z + -3z Combine like terms: 4z + -3z = 1z 8 + 1z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + 1z = 12 + 0 8 + 1z = 12 Add '-8' to each side of the equation. 8 + -8 + 1z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 12 + -8 1z = 12 + -8 Combine like terms: 12 + -8 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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