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Simplifying 7z + 8 + -3z = 6 + 3z + 3 Reorder the terms: 8 + 7z + -3z = 6 + 3z + 3 Combine like terms: 7z + -3z = 4z 8 + 4z = 6 + 3z + 3 Reorder the terms: 8 + 4z = 6 + 3 + 3z Combine like terms: 6 + 3 = 9 8 + 4z = 9 + 3z Solving 8 + 4z = 9 + 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 = 9 + 3z + -3z Combine like terms: 4z + -3z = 1z 8 + 1z = 9 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + 1z = 9 + 0 8 + 1z = 9 Add '-8' to each side of the equation. 8 + -8 + 1z = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 9 + -8 1z = 9 + -8 Combine like terms: 9 + -8 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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