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Simplifying 8z + -15 + z + 15 = 5z + 3z + -8 Reorder the terms: -15 + 15 + 8z + z = 5z + 3z + -8 Combine like terms: -15 + 15 = 0 0 + 8z + z = 5z + 3z + -8 8z + z = 5z + 3z + -8 Combine like terms: 8z + z = 9z 9z = 5z + 3z + -8 Reorder the terms: 9z = -8 + 5z + 3z Combine like terms: 5z + 3z = 8z 9z = -8 + 8z Solving 9z = -8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 9z + -8z = -8 + 8z + -8z Combine like terms: 9z + -8z = 1z 1z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 1z = -8 + 0 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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