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Simplifying -1(3.9 + -4.1n) = 19.9 + 10.1n (3.9 * -1 + -4.1n * -1) = 19.9 + 10.1n (-3.9 + 4.1n) = 19.9 + 10.1n Solving -3.9 + 4.1n = 19.9 + 10.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10.1n' to each side of the equation. -3.9 + 4.1n + -10.1n = 19.9 + 10.1n + -10.1n Combine like terms: 4.1n + -10.1n = -6n -3.9 + -6n = 19.9 + 10.1n + -10.1n Combine like terms: 10.1n + -10.1n = 0.0 -3.9 + -6n = 19.9 + 0.0 -3.9 + -6n = 19.9 Add '3.9' to each side of the equation. -3.9 + 3.9 + -6n = 19.9 + 3.9 Combine like terms: -3.9 + 3.9 = 0.0 0.0 + -6n = 19.9 + 3.9 -6n = 19.9 + 3.9 Combine like terms: 19.9 + 3.9 = 23.8 -6n = 23.8 Divide each side by '-6'. n = -3.966666667 Simplifying n = -3.966666667
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