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Simplifying (12z + 7) + -1(5z + -4) = 0 Reorder the terms: (7 + 12z) + -1(5z + -4) = 0 Remove parenthesis around (7 + 12z) 7 + 12z + -1(5z + -4) = 0 Reorder the terms: 7 + 12z + -1(-4 + 5z) = 0 7 + 12z + (-4 * -1 + 5z * -1) = 0 7 + 12z + (4 + -5z) = 0 Reorder the terms: 7 + 4 + 12z + -5z = 0 Combine like terms: 7 + 4 = 11 11 + 12z + -5z = 0 Combine like terms: 12z + -5z = 7z 11 + 7z = 0 Solving 11 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7z = 0 + -11 7z = 0 + -11 Combine like terms: 0 + -11 = -11 7z = -11 Divide each side by '7'. z = -1.571428571 Simplifying z = -1.571428571
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