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Simplifying -5(1 + -5n) + (-8n + -2) = -4n + -8n (1 * -5 + -5n * -5) + (-8n + -2) = -4n + -8n (-5 + 25n) + (-8n + -2) = -4n + -8n Reorder the terms: -5 + 25n + (-2 + -8n) = -4n + -8n Remove parenthesis around (-2 + -8n) -5 + 25n + -2 + -8n = -4n + -8n Reorder the terms: -5 + -2 + 25n + -8n = -4n + -8n Combine like terms: -5 + -2 = -7 -7 + 25n + -8n = -4n + -8n Combine like terms: 25n + -8n = 17n -7 + 17n = -4n + -8n Combine like terms: -4n + -8n = -12n -7 + 17n = -12n Solving -7 + 17n = -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -7 + 17n + 12n = -12n + 12n Combine like terms: 17n + 12n = 29n -7 + 29n = -12n + 12n Combine like terms: -12n + 12n = 0 -7 + 29n = 0 Add '7' to each side of the equation. -7 + 7 + 29n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 29n = 0 + 7 29n = 0 + 7 Combine like terms: 0 + 7 = 7 29n = 7 Divide each side by '29'. n = 0.2413793103 Simplifying n = 0.2413793103
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