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Simplifying 3z + 8 + -1z = 7 + z + 5 Reorder the terms: 8 + 3z + -1z = 7 + z + 5 Combine like terms: 3z + -1z = 2z 8 + 2z = 7 + z + 5 Reorder the terms: 8 + 2z = 7 + 5 + z Combine like terms: 7 + 5 = 12 8 + 2z = 12 + z Solving 8 + 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. 8 + 2z + -1z = 12 + z + -1z Combine like terms: 2z + -1z = 1z 8 + 1z = 12 + z + -1z Combine like terms: z + -1z = 0 8 + 1z = 12 + 0 8 + 1z = 12 Add '-8' to each side of the equation. 8 + -8 + 1z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 12 + -8 1z = 12 + -8 Combine like terms: 12 + -8 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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