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Simplifying 2(7z + 4) = 12z + -11 Reorder the terms: 2(4 + 7z) = 12z + -11 (4 * 2 + 7z * 2) = 12z + -11 (8 + 14z) = 12z + -11 Reorder the terms: 8 + 14z = -11 + 12z Solving 8 + 14z = -11 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 8 + 14z + -12z = -11 + 12z + -12z Combine like terms: 14z + -12z = 2z 8 + 2z = -11 + 12z + -12z Combine like terms: 12z + -12z = 0 8 + 2z = -11 + 0 8 + 2z = -11 Add '-8' to each side of the equation. 8 + -8 + 2z = -11 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = -11 + -8 2z = -11 + -8 Combine like terms: -11 + -8 = -19 2z = -19 Divide each side by '2'. z = -9.5 Simplifying z = -9.5
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