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Simplifying -6 + -1(-2n + 4) = -6(-3n + -5) + 6 Reorder the terms: -6 + -1(4 + -2n) = -6(-3n + -5) + 6 -6 + (4 * -1 + -2n * -1) = -6(-3n + -5) + 6 -6 + (-4 + 2n) = -6(-3n + -5) + 6 Combine like terms: -6 + -4 = -10 -10 + 2n = -6(-3n + -5) + 6 Reorder the terms: -10 + 2n = -6(-5 + -3n) + 6 -10 + 2n = (-5 * -6 + -3n * -6) + 6 -10 + 2n = (30 + 18n) + 6 Reorder the terms: -10 + 2n = 30 + 6 + 18n Combine like terms: 30 + 6 = 36 -10 + 2n = 36 + 18n Solving -10 + 2n = 36 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -10 + 2n + -18n = 36 + 18n + -18n Combine like terms: 2n + -18n = -16n -10 + -16n = 36 + 18n + -18n Combine like terms: 18n + -18n = 0 -10 + -16n = 36 + 0 -10 + -16n = 36 Add '10' to each side of the equation. -10 + 10 + -16n = 36 + 10 Combine like terms: -10 + 10 = 0 0 + -16n = 36 + 10 -16n = 36 + 10 Combine like terms: 36 + 10 = 46 -16n = 46 Divide each side by '-16'. n = -2.875 Simplifying n = -2.875
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