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Simplifying 5(4n + -3) + -11(n + -10) = 1 + -1n + 4 Reorder the terms: 5(-3 + 4n) + -11(n + -10) = 1 + -1n + 4 (-3 * 5 + 4n * 5) + -11(n + -10) = 1 + -1n + 4 (-15 + 20n) + -11(n + -10) = 1 + -1n + 4 Reorder the terms: -15 + 20n + -11(-10 + n) = 1 + -1n + 4 -15 + 20n + (-10 * -11 + n * -11) = 1 + -1n + 4 -15 + 20n + (110 + -11n) = 1 + -1n + 4 Reorder the terms: -15 + 110 + 20n + -11n = 1 + -1n + 4 Combine like terms: -15 + 110 = 95 95 + 20n + -11n = 1 + -1n + 4 Combine like terms: 20n + -11n = 9n 95 + 9n = 1 + -1n + 4 Reorder the terms: 95 + 9n = 1 + 4 + -1n Combine like terms: 1 + 4 = 5 95 + 9n = 5 + -1n Solving 95 + 9n = 5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 95 + 9n + n = 5 + -1n + n Combine like terms: 9n + n = 10n 95 + 10n = 5 + -1n + n Combine like terms: -1n + n = 0 95 + 10n = 5 + 0 95 + 10n = 5 Add '-95' to each side of the equation. 95 + -95 + 10n = 5 + -95 Combine like terms: 95 + -95 = 0 0 + 10n = 5 + -95 10n = 5 + -95 Combine like terms: 5 + -95 = -90 10n = -90 Divide each side by '10'. n = -9 Simplifying n = -9
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