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Simplifying -6(1 + 5) = 3(-2 + -3n) Combine like terms: 1 + 5 = 6 -6(6) = 3(-2 + -3n) Multiply -6 * 6 -36 = 3(-2 + -3n) -36 = (-2 * 3 + -3n * 3) -36 = (-6 + -9n) Solving -36 = -6 + -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. -36 + 9n = -6 + -9n + 9n Combine like terms: -9n + 9n = 0 -36 + 9n = -6 + 0 -36 + 9n = -6 Add '36' to each side of the equation. -36 + 36 + 9n = -6 + 36 Combine like terms: -36 + 36 = 0 0 + 9n = -6 + 36 9n = -6 + 36 Combine like terms: -6 + 36 = 30 9n = 30 Divide each side by '9'. n = 3.333333333 Simplifying n = 3.333333333
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