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Simplifying 9z + 2 = 6z + -10 + -1z + -4 Reorder the terms: 2 + 9z = 6z + -10 + -1z + -4 Reorder the terms: 2 + 9z = -10 + -4 + 6z + -1z Combine like terms: -10 + -4 = -14 2 + 9z = -14 + 6z + -1z Combine like terms: 6z + -1z = 5z 2 + 9z = -14 + 5z Solving 2 + 9z = -14 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 9z + -5z = -14 + 5z + -5z Combine like terms: 9z + -5z = 4z 2 + 4z = -14 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 4z = -14 + 0 2 + 4z = -14 Add '-2' to each side of the equation. 2 + -2 + 4z = -14 + -2 Combine like terms: 2 + -2 = 0 0 + 4z = -14 + -2 4z = -14 + -2 Combine like terms: -14 + -2 = -16 4z = -16 Divide each side by '4'. z = -4 Simplifying z = -4
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