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Simplifying 3z + 9 = 7 + 3z + 6 + -1z Reorder the terms: 9 + 3z = 7 + 3z + 6 + -1z Reorder the terms: 9 + 3z = 7 + 6 + 3z + -1z Combine like terms: 7 + 6 = 13 9 + 3z = 13 + 3z + -1z Combine like terms: 3z + -1z = 2z 9 + 3z = 13 + 2z Solving 9 + 3z = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 9 + 3z + -2z = 13 + 2z + -2z Combine like terms: 3z + -2z = 1z 9 + 1z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 9 + 1z = 13 + 0 9 + 1z = 13 Add '-9' to each side of the equation. 9 + -9 + 1z = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = 13 + -9 1z = 13 + -9 Combine like terms: 13 + -9 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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