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Simplifying 12z + 17 + 10 = -15 + 9z Reorder the terms: 17 + 10 + 12z = -15 + 9z Combine like terms: 17 + 10 = 27 27 + 12z = -15 + 9z Solving 27 + 12z = -15 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 27 + 12z + -9z = -15 + 9z + -9z Combine like terms: 12z + -9z = 3z 27 + 3z = -15 + 9z + -9z Combine like terms: 9z + -9z = 0 27 + 3z = -15 + 0 27 + 3z = -15 Add '-27' to each side of the equation. 27 + -27 + 3z = -15 + -27 Combine like terms: 27 + -27 = 0 0 + 3z = -15 + -27 3z = -15 + -27 Combine like terms: -15 + -27 = -42 3z = -42 Divide each side by '3'. z = -14 Simplifying z = -14
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