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Simplifying 2 + -6(-3n + 5) = -8(-3n + -1) + 2 Reorder the terms: 2 + -6(5 + -3n) = -8(-3n + -1) + 2 2 + (5 * -6 + -3n * -6) = -8(-3n + -1) + 2 2 + (-30 + 18n) = -8(-3n + -1) + 2 Combine like terms: 2 + -30 = -28 -28 + 18n = -8(-3n + -1) + 2 Reorder the terms: -28 + 18n = -8(-1 + -3n) + 2 -28 + 18n = (-1 * -8 + -3n * -8) + 2 -28 + 18n = (8 + 24n) + 2 Reorder the terms: -28 + 18n = 8 + 2 + 24n Combine like terms: 8 + 2 = 10 -28 + 18n = 10 + 24n Solving -28 + 18n = 10 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -28 + 18n + -24n = 10 + 24n + -24n Combine like terms: 18n + -24n = -6n -28 + -6n = 10 + 24n + -24n Combine like terms: 24n + -24n = 0 -28 + -6n = 10 + 0 -28 + -6n = 10 Add '28' to each side of the equation. -28 + 28 + -6n = 10 + 28 Combine like terms: -28 + 28 = 0 0 + -6n = 10 + 28 -6n = 10 + 28 Combine like terms: 10 + 28 = 38 -6n = 38 Divide each side by '-6'. n = -6.333333333 Simplifying n = -6.333333333
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