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Simplifying 4(-1 + -4n) = 6(-3n + -5) (-1 * 4 + -4n * 4) = 6(-3n + -5) (-4 + -16n) = 6(-3n + -5) Reorder the terms: -4 + -16n = 6(-5 + -3n) -4 + -16n = (-5 * 6 + -3n * 6) -4 + -16n = (-30 + -18n) Solving -4 + -16n = -30 + -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. -4 + -16n + 18n = -30 + -18n + 18n Combine like terms: -16n + 18n = 2n -4 + 2n = -30 + -18n + 18n Combine like terms: -18n + 18n = 0 -4 + 2n = -30 + 0 -4 + 2n = -30 Add '4' to each side of the equation. -4 + 4 + 2n = -30 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = -30 + 4 2n = -30 + 4 Combine like terms: -30 + 4 = -26 2n = -26 Divide each side by '2'. n = -13 Simplifying n = -13
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