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Simplifying -9(7z + -5) + 6(-7z + 1) = 0 Reorder the terms: -9(-5 + 7z) + 6(-7z + 1) = 0 (-5 * -9 + 7z * -9) + 6(-7z + 1) = 0 (45 + -63z) + 6(-7z + 1) = 0 Reorder the terms: 45 + -63z + 6(1 + -7z) = 0 45 + -63z + (1 * 6 + -7z * 6) = 0 45 + -63z + (6 + -42z) = 0 Reorder the terms: 45 + 6 + -63z + -42z = 0 Combine like terms: 45 + 6 = 51 51 + -63z + -42z = 0 Combine like terms: -63z + -42z = -105z 51 + -105z = 0 Solving 51 + -105z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -105z = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -105z = 0 + -51 -105z = 0 + -51 Combine like terms: 0 + -51 = -51 -105z = -51 Divide each side by '-105'. z = 0.4857142857 Simplifying z = 0.4857142857
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