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Simplifying 4(n + -1) + -1(4 + -9n) = 12n Reorder the terms: 4(-1 + n) + -1(4 + -9n) = 12n (-1 * 4 + n * 4) + -1(4 + -9n) = 12n (-4 + 4n) + -1(4 + -9n) = 12n -4 + 4n + (4 * -1 + -9n * -1) = 12n -4 + 4n + (-4 + 9n) = 12n Reorder the terms: -4 + -4 + 4n + 9n = 12n Combine like terms: -4 + -4 = -8 -8 + 4n + 9n = 12n Combine like terms: 4n + 9n = 13n -8 + 13n = 12n Solving -8 + 13n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -8 + 13n + -12n = 12n + -12n Combine like terms: 13n + -12n = 1n -8 + 1n = 12n + -12n Combine like terms: 12n + -12n = 0 -8 + 1n = 0 Add '8' to each side of the equation. -8 + 8 + 1n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = 0 + 8 1n = 0 + 8 Combine like terms: 0 + 8 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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