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Simplifying 6 + 9(n + -1) = 3(-3n + -4) + -6 Reorder the terms: 6 + 9(-1 + n) = 3(-3n + -4) + -6 6 + (-1 * 9 + n * 9) = 3(-3n + -4) + -6 6 + (-9 + 9n) = 3(-3n + -4) + -6 Combine like terms: 6 + -9 = -3 -3 + 9n = 3(-3n + -4) + -6 Reorder the terms: -3 + 9n = 3(-4 + -3n) + -6 -3 + 9n = (-4 * 3 + -3n * 3) + -6 -3 + 9n = (-12 + -9n) + -6 Reorder the terms: -3 + 9n = -12 + -6 + -9n Combine like terms: -12 + -6 = -18 -3 + 9n = -18 + -9n Solving -3 + 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. -3 + 9n + 9n = -18 + -9n + 9n Combine like terms: 9n + 9n = 18n -3 + 18n = -18 + -9n + 9n Combine like terms: -9n + 9n = 0 -3 + 18n = -18 + 0 -3 + 18n = -18 Add '3' to each side of the equation. -3 + 3 + 18n = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 18n = -18 + 3 18n = -18 + 3 Combine like terms: -18 + 3 = -15 18n = -15 Divide each side by '18'. n = -0.8333333333 Simplifying n = -0.8333333333
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