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Simplifying 11 + 5z = 6(z + -2) Reorder the terms: 11 + 5z = 6(-2 + z) 11 + 5z = (-2 * 6 + z * 6) 11 + 5z = (-12 + 6z) Solving 11 + 5z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 11 + 5z + -6z = -12 + 6z + -6z Combine like terms: 5z + -6z = -1z 11 + -1z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 11 + -1z = -12 + 0 11 + -1z = -12 Add '-11' to each side of the equation. 11 + -11 + -1z = -12 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = -12 + -11 -1z = -12 + -11 Combine like terms: -12 + -11 = -23 -1z = -23 Divide each side by '-1'. z = 23 Simplifying z = 23
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