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Simplifying -6 + -3(5 + -1n) = -9 + n -6 + (5 * -3 + -1n * -3) = -9 + n -6 + (-15 + 3n) = -9 + n Combine like terms: -6 + -15 = -21 -21 + 3n = -9 + n Solving -21 + 3n = -9 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -21 + 3n + -1n = -9 + n + -1n Combine like terms: 3n + -1n = 2n -21 + 2n = -9 + n + -1n Combine like terms: n + -1n = 0 -21 + 2n = -9 + 0 -21 + 2n = -9 Add '21' to each side of the equation. -21 + 21 + 2n = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 2n = -9 + 21 2n = -9 + 21 Combine like terms: -9 + 21 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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