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Simplifying 0.6666667(n + -6) = 5n + -43 Reorder the terms: 0.6666667(-6 + n) = 5n + -43 (-6 * 0.6666667 + n * 0.6666667) = 5n + -43 (-4.0000002 + 0.6666667n) = 5n + -43 Reorder the terms: -4.0000002 + 0.6666667n = -43 + 5n Solving -4.0000002 + 0.6666667n = -43 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -4.0000002 + 0.6666667n + -5n = -43 + 5n + -5n Combine like terms: 0.6666667n + -5n = -4.3333333n -4.0000002 + -4.3333333n = -43 + 5n + -5n Combine like terms: 5n + -5n = 0 -4.0000002 + -4.3333333n = -43 + 0 -4.0000002 + -4.3333333n = -43 Add '4.0000002' to each side of the equation. -4.0000002 + 4.0000002 + -4.3333333n = -43 + 4.0000002 Combine like terms: -4.0000002 + 4.0000002 = 0.0000000 0.0000000 + -4.3333333n = -43 + 4.0000002 -4.3333333n = -43 + 4.0000002 Combine like terms: -43 + 4.0000002 = -38.9999998 -4.3333333n = -38.9999998 Divide each side by '-4.3333333'. n = 9.000000023 Simplifying n = 9.000000023
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