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Simplifying -4(n + 2) + -1(7n + -5) = -12n Reorder the terms: -4(2 + n) + -1(7n + -5) = -12n (2 * -4 + n * -4) + -1(7n + -5) = -12n (-8 + -4n) + -1(7n + -5) = -12n Reorder the terms: -8 + -4n + -1(-5 + 7n) = -12n -8 + -4n + (-5 * -1 + 7n * -1) = -12n -8 + -4n + (5 + -7n) = -12n Reorder the terms: -8 + 5 + -4n + -7n = -12n Combine like terms: -8 + 5 = -3 -3 + -4n + -7n = -12n Combine like terms: -4n + -7n = -11n -3 + -11n = -12n Solving -3 + -11n = -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. -3 + -11n + 12n = -12n + 12n Combine like terms: -11n + 12n = 1n -3 + 1n = -12n + 12n Combine like terms: -12n + 12n = 0 -3 + 1n = 0 Add '3' to each side of the equation. -3 + 3 + 1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1n = 0 + 3 1n = 0 + 3 Combine like terms: 0 + 3 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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