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Simplifying 8(z + 3) + -1z = 5z + -11 Reorder the terms: 8(3 + z) + -1z = 5z + -11 (3 * 8 + z * 8) + -1z = 5z + -11 (24 + 8z) + -1z = 5z + -11 Combine like terms: 8z + -1z = 7z 24 + 7z = 5z + -11 Reorder the terms: 24 + 7z = -11 + 5z Solving 24 + 7z = -11 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 24 + 7z + -5z = -11 + 5z + -5z Combine like terms: 7z + -5z = 2z 24 + 2z = -11 + 5z + -5z Combine like terms: 5z + -5z = 0 24 + 2z = -11 + 0 24 + 2z = -11 Add '-24' to each side of the equation. 24 + -24 + 2z = -11 + -24 Combine like terms: 24 + -24 = 0 0 + 2z = -11 + -24 2z = -11 + -24 Combine like terms: -11 + -24 = -35 2z = -35 Divide each side by '2'. z = -17.5 Simplifying z = -17.5
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