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Simplifying 9 + -4z = 3 + -3z Solving 9 + -4z = 3 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 9 + -4z + 3z = 3 + -3z + 3z Combine like terms: -4z + 3z = -1z 9 + -1z = 3 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + -1z = 3 + 0 9 + -1z = 3 Add '-9' to each side of the equation. 9 + -9 + -1z = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 3 + -9 -1z = 3 + -9 Combine like terms: 3 + -9 = -6 -1z = -6 Divide each side by '-1'. z = 6 Simplifying z = 6
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