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Simplifying 3z + 3 + -1z = 5 + z + 7 Reorder the terms: 3 + 3z + -1z = 5 + z + 7 Combine like terms: 3z + -1z = 2z 3 + 2z = 5 + z + 7 Reorder the terms: 3 + 2z = 5 + 7 + z Combine like terms: 5 + 7 = 12 3 + 2z = 12 + z Solving 3 + 2z = 12 + 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. 3 + 2z + -1z = 12 + z + -1z Combine like terms: 2z + -1z = 1z 3 + 1z = 12 + z + -1z Combine like terms: z + -1z = 0 3 + 1z = 12 + 0 3 + 1z = 12 Add '-3' to each side of the equation. 3 + -3 + 1z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 12 + -3 1z = 12 + -3 Combine like terms: 12 + -3 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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