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