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Simplifying (12z + 11) + -1(5z + -1) = 0 Reorder the terms: (11 + 12z) + -1(5z + -1) = 0 Remove parenthesis around (11 + 12z) 11 + 12z + -1(5z + -1) = 0 Reorder the terms: 11 + 12z + -1(-1 + 5z) = 0 11 + 12z + (-1 * -1 + 5z * -1) = 0 11 + 12z + (1 + -5z) = 0 Reorder the terms: 11 + 1 + 12z + -5z = 0 Combine like terms: 11 + 1 = 12 12 + 12z + -5z = 0 Combine like terms: 12z + -5z = 7z 12 + 7z = 0 Solving 12 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7z = 0 + -12 7z = 0 + -12 Combine like terms: 0 + -12 = -12 7z = -12 Divide each side by '7'. z = -1.714285714 Simplifying z = -1.714285714
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