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Simplifying -5(-4 + -12n) = -7(1 + -9n) (-4 * -5 + -12n * -5) = -7(1 + -9n) (20 + 60n) = -7(1 + -9n) 20 + 60n = (1 * -7 + -9n * -7) 20 + 60n = (-7 + 63n) Solving 20 + 60n = -7 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 20 + 60n + -63n = -7 + 63n + -63n Combine like terms: 60n + -63n = -3n 20 + -3n = -7 + 63n + -63n Combine like terms: 63n + -63n = 0 20 + -3n = -7 + 0 20 + -3n = -7 Add '-20' to each side of the equation. 20 + -20 + -3n = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -3n = -7 + -20 -3n = -7 + -20 Combine like terms: -7 + -20 = -27 -3n = -27 Divide each side by '-3'. n = 9 Simplifying n = 9
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