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Simplifying 5z + 1 + -3z = 3 + z + 9 Reorder the terms: 1 + 5z + -3z = 3 + z + 9 Combine like terms: 5z + -3z = 2z 1 + 2z = 3 + z + 9 Reorder the terms: 1 + 2z = 3 + 9 + z Combine like terms: 3 + 9 = 12 1 + 2z = 12 + z Solving 1 + 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. 1 + 2z + -1z = 12 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 12 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 12 + 0 1 + 1z = 12 Add '-1' to each side of the equation. 1 + -1 + 1z = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 12 + -1 1z = 12 + -1 Combine like terms: 12 + -1 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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