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Simplifying 6 + (9n + -1) = 3(-3n + -4) + -6 Reorder the terms: 6 + (-1 + 9n) = 3(-3n + -4) + -6 Remove parenthesis around (-1 + 9n) 6 + -1 + 9n = 3(-3n + -4) + -6 Combine like terms: 6 + -1 = 5 5 + 9n = 3(-3n + -4) + -6 Reorder the terms: 5 + 9n = 3(-4 + -3n) + -6 5 + 9n = (-4 * 3 + -3n * 3) + -6 5 + 9n = (-12 + -9n) + -6 Reorder the terms: 5 + 9n = -12 + -6 + -9n Combine like terms: -12 + -6 = -18 5 + 9n = -18 + -9n Solving 5 + 9n = -18 + -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. 5 + 9n + 9n = -18 + -9n + 9n Combine like terms: 9n + 9n = 18n 5 + 18n = -18 + -9n + 9n Combine like terms: -9n + 9n = 0 5 + 18n = -18 + 0 5 + 18n = -18 Add '-5' to each side of the equation. 5 + -5 + 18n = -18 + -5 Combine like terms: 5 + -5 = 0 0 + 18n = -18 + -5 18n = -18 + -5 Combine like terms: -18 + -5 = -23 18n = -23 Divide each side by '18'. n = -1.277777778 Simplifying n = -1.277777778
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