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Simplifying -6n + -13(-11n + 8) = -10(n + -4) Reorder the terms: -6n + -13(8 + -11n) = -10(n + -4) -6n + (8 * -13 + -11n * -13) = -10(n + -4) -6n + (-104 + 143n) = -10(n + -4) Reorder the terms: -104 + -6n + 143n = -10(n + -4) Combine like terms: -6n + 143n = 137n -104 + 137n = -10(n + -4) Reorder the terms: -104 + 137n = -10(-4 + n) -104 + 137n = (-4 * -10 + n * -10) -104 + 137n = (40 + -10n) Solving -104 + 137n = 40 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -104 + 137n + 10n = 40 + -10n + 10n Combine like terms: 137n + 10n = 147n -104 + 147n = 40 + -10n + 10n Combine like terms: -10n + 10n = 0 -104 + 147n = 40 + 0 -104 + 147n = 40 Add '104' to each side of the equation. -104 + 104 + 147n = 40 + 104 Combine like terms: -104 + 104 = 0 0 + 147n = 40 + 104 147n = 40 + 104 Combine like terms: 40 + 104 = 144 147n = 144 Divide each side by '147'. n = 0.9795918367 Simplifying n = 0.9795918367
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