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Simplifying -54 = 3(-7 + -2n) + -3(n + 2) -54 = (-7 * 3 + -2n * 3) + -3(n + 2) -54 = (-21 + -6n) + -3(n + 2) Reorder the terms: -54 = -21 + -6n + -3(2 + n) -54 = -21 + -6n + (2 * -3 + n * -3) -54 = -21 + -6n + (-6 + -3n) Reorder the terms: -54 = -21 + -6 + -6n + -3n Combine like terms: -21 + -6 = -27 -54 = -27 + -6n + -3n Combine like terms: -6n + -3n = -9n -54 = -27 + -9n Solving -54 = -27 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -54 + 9n = -27 + -9n + 9n Combine like terms: -9n + 9n = 0 -54 + 9n = -27 + 0 -54 + 9n = -27 Add '54' to each side of the equation. -54 + 54 + 9n = -27 + 54 Combine like terms: -54 + 54 = 0 0 + 9n = -27 + 54 9n = -27 + 54 Combine like terms: -27 + 54 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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