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Simplifying 3z + 6 + -1z = 3 + z + 5 Reorder the terms: 6 + 3z + -1z = 3 + z + 5 Combine like terms: 3z + -1z = 2z 6 + 2z = 3 + z + 5 Reorder the terms: 6 + 2z = 3 + 5 + z Combine like terms: 3 + 5 = 8 6 + 2z = 8 + z Solving 6 + 2z = 8 + 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. 6 + 2z + -1z = 8 + z + -1z Combine like terms: 2z + -1z = 1z 6 + 1z = 8 + z + -1z Combine like terms: z + -1z = 0 6 + 1z = 8 + 0 6 + 1z = 8 Add '-6' to each side of the equation. 6 + -6 + 1z = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 8 + -6 1z = 8 + -6 Combine like terms: 8 + -6 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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