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Simplifying 3z + 1 + -1z = 8 + z + 7 Reorder the terms: 1 + 3z + -1z = 8 + z + 7 Combine like terms: 3z + -1z = 2z 1 + 2z = 8 + z + 7 Reorder the terms: 1 + 2z = 8 + 7 + z Combine like terms: 8 + 7 = 15 1 + 2z = 15 + z Solving 1 + 2z = 15 + 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 = 15 + z + -1z Combine like terms: 2z + -1z = 1z 1 + 1z = 15 + z + -1z Combine like terms: z + -1z = 0 1 + 1z = 15 + 0 1 + 1z = 15 Add '-1' to each side of the equation. 1 + -1 + 1z = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 15 + -1 1z = 15 + -1 Combine like terms: 15 + -1 = 14 1z = 14 Divide each side by '1'. z = 14 Simplifying z = 14
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