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Simplifying -9(n + 3) + 12 = -4(1 + 5n) Reorder the terms: -9(3 + n) + 12 = -4(1 + 5n) (3 * -9 + n * -9) + 12 = -4(1 + 5n) (-27 + -9n) + 12 = -4(1 + 5n) Reorder the terms: -27 + 12 + -9n = -4(1 + 5n) Combine like terms: -27 + 12 = -15 -15 + -9n = -4(1 + 5n) -15 + -9n = (1 * -4 + 5n * -4) -15 + -9n = (-4 + -20n) Solving -15 + -9n = -4 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -15 + -9n + 20n = -4 + -20n + 20n Combine like terms: -9n + 20n = 11n -15 + 11n = -4 + -20n + 20n Combine like terms: -20n + 20n = 0 -15 + 11n = -4 + 0 -15 + 11n = -4 Add '15' to each side of the equation. -15 + 15 + 11n = -4 + 15 Combine like terms: -15 + 15 = 0 0 + 11n = -4 + 15 11n = -4 + 15 Combine like terms: -4 + 15 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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