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Simplifying 11 + 3z = 8(z + -2) Reorder the terms: 11 + 3z = 8(-2 + z) 11 + 3z = (-2 * 8 + z * 8) 11 + 3z = (-16 + 8z) Solving 11 + 3z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 11 + 3z + -8z = -16 + 8z + -8z Combine like terms: 3z + -8z = -5z 11 + -5z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 11 + -5z = -16 + 0 11 + -5z = -16 Add '-11' to each side of the equation. 11 + -11 + -5z = -16 + -11 Combine like terms: 11 + -11 = 0 0 + -5z = -16 + -11 -5z = -16 + -11 Combine like terms: -16 + -11 = -27 -5z = -27 Divide each side by '-5'. z = 5.4 Simplifying z = 5.4
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