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Simplifying -27 + -3z = -9(8z + 7) Reorder the terms: -27 + -3z = -9(7 + 8z) -27 + -3z = (7 * -9 + 8z * -9) -27 + -3z = (-63 + -72z) Solving -27 + -3z = -63 + -72z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '72z' to each side of the equation. -27 + -3z + 72z = -63 + -72z + 72z Combine like terms: -3z + 72z = 69z -27 + 69z = -63 + -72z + 72z Combine like terms: -72z + 72z = 0 -27 + 69z = -63 + 0 -27 + 69z = -63 Add '27' to each side of the equation. -27 + 27 + 69z = -63 + 27 Combine like terms: -27 + 27 = 0 0 + 69z = -63 + 27 69z = -63 + 27 Combine like terms: -63 + 27 = -36 69z = -36 Divide each side by '69'. z = -0.5217391304 Simplifying z = -0.5217391304
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