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Simplifying 11 + 3z = 8(z + -1) Reorder the terms: 11 + 3z = 8(-1 + z) 11 + 3z = (-1 * 8 + z * 8) 11 + 3z = (-8 + 8z) Solving 11 + 3z = -8 + 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 = -8 + 8z + -8z Combine like terms: 3z + -8z = -5z 11 + -5z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 11 + -5z = -8 + 0 11 + -5z = -8 Add '-11' to each side of the equation. 11 + -11 + -5z = -8 + -11 Combine like terms: 11 + -11 = 0 0 + -5z = -8 + -11 -5z = -8 + -11 Combine like terms: -8 + -11 = -19 -5z = -19 Divide each side by '-5'. z = 3.8 Simplifying z = 3.8
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