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Simplifying 0.3(n + 1) = 1.66666667(3n + -5) Reorder the terms: 0.3(1 + n) = 1.66666667(3n + -5) (1 * 0.3 + n * 0.3) = 1.66666667(3n + -5) (0.3 + 0.3n) = 1.66666667(3n + -5) Reorder the terms: 0.3 + 0.3n = 1.66666667(-5 + 3n) 0.3 + 0.3n = (-5 * 1.66666667 + 3n * 1.66666667) 0.3 + 0.3n = (-8.33333335 + 5.00000001n) Solving 0.3 + 0.3n = -8.33333335 + 5.00000001n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.00000001n' to each side of the equation. 0.3 + 0.3n + -5.00000001n = -8.33333335 + 5.00000001n + -5.00000001n Combine like terms: 0.3n + -5.00000001n = -4.70000001n 0.3 + -4.70000001n = -8.33333335 + 5.00000001n + -5.00000001n Combine like terms: 5.00000001n + -5.00000001n = 0.00000000 0.3 + -4.70000001n = -8.33333335 + 0.00000000 0.3 + -4.70000001n = -8.33333335 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -4.70000001n = -8.33333335 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -4.70000001n = -8.33333335 + -0.3 -4.70000001n = -8.33333335 + -0.3 Combine like terms: -8.33333335 + -0.3 = -8.63333335 -4.70000001n = -8.63333335 Divide each side by '-4.70000001'. n = 1.836879432 Simplifying n = 1.836879432
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