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Simplifying 4(n + -2) + -5(4n + 9) = -5n + -8 + -1 Reorder the terms: 4(-2 + n) + -5(4n + 9) = -5n + -8 + -1 (-2 * 4 + n * 4) + -5(4n + 9) = -5n + -8 + -1 (-8 + 4n) + -5(4n + 9) = -5n + -8 + -1 Reorder the terms: -8 + 4n + -5(9 + 4n) = -5n + -8 + -1 -8 + 4n + (9 * -5 + 4n * -5) = -5n + -8 + -1 -8 + 4n + (-45 + -20n) = -5n + -8 + -1 Reorder the terms: -8 + -45 + 4n + -20n = -5n + -8 + -1 Combine like terms: -8 + -45 = -53 -53 + 4n + -20n = -5n + -8 + -1 Combine like terms: 4n + -20n = -16n -53 + -16n = -5n + -8 + -1 Reorder the terms: -53 + -16n = -8 + -1 + -5n Combine like terms: -8 + -1 = -9 -53 + -16n = -9 + -5n Solving -53 + -16n = -9 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -53 + -16n + 5n = -9 + -5n + 5n Combine like terms: -16n + 5n = -11n -53 + -11n = -9 + -5n + 5n Combine like terms: -5n + 5n = 0 -53 + -11n = -9 + 0 -53 + -11n = -9 Add '53' to each side of the equation. -53 + 53 + -11n = -9 + 53 Combine like terms: -53 + 53 = 0 0 + -11n = -9 + 53 -11n = -9 + 53 Combine like terms: -9 + 53 = 44 -11n = 44 Divide each side by '-11'. n = -4 Simplifying n = -4
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