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Simplifying 6(1 + 3n) = -8(-2n + 5) + -4 (1 * 6 + 3n * 6) = -8(-2n + 5) + -4 (6 + 18n) = -8(-2n + 5) + -4 Reorder the terms: 6 + 18n = -8(5 + -2n) + -4 6 + 18n = (5 * -8 + -2n * -8) + -4 6 + 18n = (-40 + 16n) + -4 Reorder the terms: 6 + 18n = -40 + -4 + 16n Combine like terms: -40 + -4 = -44 6 + 18n = -44 + 16n Solving 6 + 18n = -44 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 6 + 18n + -16n = -44 + 16n + -16n Combine like terms: 18n + -16n = 2n 6 + 2n = -44 + 16n + -16n Combine like terms: 16n + -16n = 0 6 + 2n = -44 + 0 6 + 2n = -44 Add '-6' to each side of the equation. 6 + -6 + 2n = -44 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = -44 + -6 2n = -44 + -6 Combine like terms: -44 + -6 = -50 2n = -50 Divide each side by '2'. n = -25 Simplifying n = -25
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