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Simplifying 11z + -4z + 3 = 11 + -1z + 4z Reorder the terms: 3 + 11z + -4z = 11 + -1z + 4z Combine like terms: 11z + -4z = 7z 3 + 7z = 11 + -1z + 4z Combine like terms: -1z + 4z = 3z 3 + 7z = 11 + 3z Solving 3 + 7z = 11 + 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. 3 + 7z + -3z = 11 + 3z + -3z Combine like terms: 7z + -3z = 4z 3 + 4z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 4z = 11 + 0 3 + 4z = 11 Add '-3' to each side of the equation. 3 + -3 + 4z = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = 11 + -3 4z = 11 + -3 Combine like terms: 11 + -3 = 8 4z = 8 Divide each side by '4'. z = 2 Simplifying z = 2
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