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Simplifying 9z + 4 + -4z = 7 + 4z + -10 Reorder the terms: 4 + 9z + -4z = 7 + 4z + -10 Combine like terms: 9z + -4z = 5z 4 + 5z = 7 + 4z + -10 Reorder the terms: 4 + 5z = 7 + -10 + 4z Combine like terms: 7 + -10 = -3 4 + 5z = -3 + 4z Solving 4 + 5z = -3 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 4 + 5z + -4z = -3 + 4z + -4z Combine like terms: 5z + -4z = 1z 4 + 1z = -3 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + 1z = -3 + 0 4 + 1z = -3 Add '-4' to each side of the equation. 4 + -4 + 1z = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -3 + -4 1z = -3 + -4 Combine like terms: -3 + -4 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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