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Simplifying 4 + -9(n + -4) = 6(4n + -1) + 5 Reorder the terms: 4 + -9(-4 + n) = 6(4n + -1) + 5 4 + (-4 * -9 + n * -9) = 6(4n + -1) + 5 4 + (36 + -9n) = 6(4n + -1) + 5 Combine like terms: 4 + 36 = 40 40 + -9n = 6(4n + -1) + 5 Reorder the terms: 40 + -9n = 6(-1 + 4n) + 5 40 + -9n = (-1 * 6 + 4n * 6) + 5 40 + -9n = (-6 + 24n) + 5 Reorder the terms: 40 + -9n = -6 + 5 + 24n Combine like terms: -6 + 5 = -1 40 + -9n = -1 + 24n Solving 40 + -9n = -1 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 40 + -9n + -24n = -1 + 24n + -24n Combine like terms: -9n + -24n = -33n 40 + -33n = -1 + 24n + -24n Combine like terms: 24n + -24n = 0 40 + -33n = -1 + 0 40 + -33n = -1 Add '-40' to each side of the equation. 40 + -40 + -33n = -1 + -40 Combine like terms: 40 + -40 = 0 0 + -33n = -1 + -40 -33n = -1 + -40 Combine like terms: -1 + -40 = -41 -33n = -41 Divide each side by '-33'. n = 1.242424242 Simplifying n = 1.242424242
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