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Simplifying -4(n + 9) + -1(9n + -5) = -14n Reorder the terms: -4(9 + n) + -1(9n + -5) = -14n (9 * -4 + n * -4) + -1(9n + -5) = -14n (-36 + -4n) + -1(9n + -5) = -14n Reorder the terms: -36 + -4n + -1(-5 + 9n) = -14n -36 + -4n + (-5 * -1 + 9n * -1) = -14n -36 + -4n + (5 + -9n) = -14n Reorder the terms: -36 + 5 + -4n + -9n = -14n Combine like terms: -36 + 5 = -31 -31 + -4n + -9n = -14n Combine like terms: -4n + -9n = -13n -31 + -13n = -14n Solving -31 + -13n = -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -31 + -13n + 14n = -14n + 14n Combine like terms: -13n + 14n = 1n -31 + 1n = -14n + 14n Combine like terms: -14n + 14n = 0 -31 + 1n = 0 Add '31' to each side of the equation. -31 + 31 + 1n = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1n = 0 + 31 1n = 0 + 31 Combine like terms: 0 + 31 = 31 1n = 31 Divide each side by '1'. n = 31 Simplifying n = 31
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