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Simplifying 11 + 4z = 7(z + -2) Reorder the terms: 11 + 4z = 7(-2 + z) 11 + 4z = (-2 * 7 + z * 7) 11 + 4z = (-14 + 7z) Solving 11 + 4z = -14 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 11 + 4z + -7z = -14 + 7z + -7z Combine like terms: 4z + -7z = -3z 11 + -3z = -14 + 7z + -7z Combine like terms: 7z + -7z = 0 11 + -3z = -14 + 0 11 + -3z = -14 Add '-11' to each side of the equation. 11 + -11 + -3z = -14 + -11 Combine like terms: 11 + -11 = 0 0 + -3z = -14 + -11 -3z = -14 + -11 Combine like terms: -14 + -11 = -25 -3z = -25 Divide each side by '-3'. z = 8.333333333 Simplifying z = 8.333333333
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