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Simplifying -6 + -3(1 + -2n) = 45 + -3n -6 + (1 * -3 + -2n * -3) = 45 + -3n -6 + (-3 + 6n) = 45 + -3n Combine like terms: -6 + -3 = -9 -9 + 6n = 45 + -3n Solving -9 + 6n = 45 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -9 + 6n + 3n = 45 + -3n + 3n Combine like terms: 6n + 3n = 9n -9 + 9n = 45 + -3n + 3n Combine like terms: -3n + 3n = 0 -9 + 9n = 45 + 0 -9 + 9n = 45 Add '9' to each side of the equation. -9 + 9 + 9n = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 9n = 45 + 9 9n = 45 + 9 Combine like terms: 45 + 9 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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