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Simplifying -27 = 9 + 7(z + -5) Reorder the terms: -27 = 9 + 7(-5 + z) -27 = 9 + (-5 * 7 + z * 7) -27 = 9 + (-35 + 7z) Combine like terms: 9 + -35 = -26 -27 = -26 + 7z Solving -27 = -26 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -27 + -7z = -26 + 7z + -7z Combine like terms: 7z + -7z = 0 -27 + -7z = -26 + 0 -27 + -7z = -26 Add '27' to each side of the equation. -27 + 27 + -7z = -26 + 27 Combine like terms: -27 + 27 = 0 0 + -7z = -26 + 27 -7z = -26 + 27 Combine like terms: -26 + 27 = 1 -7z = 1 Divide each side by '-7'. z = -0.1428571429 Simplifying z = -0.1428571429
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