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Simplifying 810 = 27(z + 6) Reorder the terms: 810 = 27(6 + z) 810 = (6 * 27 + z * 27) 810 = (162 + 27z) Solving 810 = 162 + 27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27z' to each side of the equation. 810 + -27z = 162 + 27z + -27z Combine like terms: 27z + -27z = 0 810 + -27z = 162 + 0 810 + -27z = 162 Add '-810' to each side of the equation. 810 + -810 + -27z = 162 + -810 Combine like terms: 810 + -810 = 0 0 + -27z = 162 + -810 -27z = 162 + -810 Combine like terms: 162 + -810 = -648 -27z = -648 Divide each side by '-27'. z = 24 Simplifying z = 24
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