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Simplifying -27 = -3(n + -4) + -3(6n + -1) Reorder the terms: -27 = -3(-4 + n) + -3(6n + -1) -27 = (-4 * -3 + n * -3) + -3(6n + -1) -27 = (12 + -3n) + -3(6n + -1) Reorder the terms: -27 = 12 + -3n + -3(-1 + 6n) -27 = 12 + -3n + (-1 * -3 + 6n * -3) -27 = 12 + -3n + (3 + -18n) Reorder the terms: -27 = 12 + 3 + -3n + -18n Combine like terms: 12 + 3 = 15 -27 = 15 + -3n + -18n Combine like terms: -3n + -18n = -21n -27 = 15 + -21n Solving -27 = 15 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -27 + 21n = 15 + -21n + 21n Combine like terms: -21n + 21n = 0 -27 + 21n = 15 + 0 -27 + 21n = 15 Add '27' to each side of the equation. -27 + 27 + 21n = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 21n = 15 + 27 21n = 15 + 27 Combine like terms: 15 + 27 = 42 21n = 42 Divide each side by '21'. n = 2 Simplifying n = 2
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