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Simplifying 9 + 4z + -3 = 9z + 10 + -4z Reorder the terms: 9 + -3 + 4z = 9z + 10 + -4z Combine like terms: 9 + -3 = 6 6 + 4z = 9z + 10 + -4z Reorder the terms: 6 + 4z = 10 + 9z + -4z Combine like terms: 9z + -4z = 5z 6 + 4z = 10 + 5z Solving 6 + 4z = 10 + 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. 6 + 4z + -5z = 10 + 5z + -5z Combine like terms: 4z + -5z = -1z 6 + -1z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + -1z = 10 + 0 6 + -1z = 10 Add '-6' to each side of the equation. 6 + -6 + -1z = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1z = 10 + -6 -1z = 10 + -6 Combine like terms: 10 + -6 = 4 -1z = 4 Divide each side by '-1'. z = -4 Simplifying z = -4
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