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Simplifying -9.9n + -1(1 + 3.6n) = -1.9(n + 9.48) + -5n -9.9n + (1 * -1 + 3.6n * -1) = -1.9(n + 9.48) + -5n -9.9n + (-1 + -3.6n) = -1.9(n + 9.48) + -5n Reorder the terms: -1 + -9.9n + -3.6n = -1.9(n + 9.48) + -5n Combine like terms: -9.9n + -3.6n = -13.5n -1 + -13.5n = -1.9(n + 9.48) + -5n Reorder the terms: -1 + -13.5n = -1.9(9.48 + n) + -5n -1 + -13.5n = (9.48 * -1.9 + n * -1.9) + -5n -1 + -13.5n = (-18.012 + -1.9n) + -5n Combine like terms: -1.9n + -5n = -6.9n -1 + -13.5n = -18.012 + -6.9n Solving -1 + -13.5n = -18.012 + -6.9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6.9n' to each side of the equation. -1 + -13.5n + 6.9n = -18.012 + -6.9n + 6.9n Combine like terms: -13.5n + 6.9n = -6.6n -1 + -6.6n = -18.012 + -6.9n + 6.9n Combine like terms: -6.9n + 6.9n = 0.0 -1 + -6.6n = -18.012 + 0.0 -1 + -6.6n = -18.012 Add '1' to each side of the equation. -1 + 1 + -6.6n = -18.012 + 1 Combine like terms: -1 + 1 = 0 0 + -6.6n = -18.012 + 1 -6.6n = -18.012 + 1 Combine like terms: -18.012 + 1 = -17.012 -6.6n = -17.012 Divide each side by '-6.6'. n = 2.577575758 Simplifying n = 2.577575758
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