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