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Simplifying -4(1 + -4n) = 6(3n + -2) (1 * -4 + -4n * -4) = 6(3n + -2) (-4 + 16n) = 6(3n + -2) Reorder the terms: -4 + 16n = 6(-2 + 3n) -4 + 16n = (-2 * 6 + 3n * 6) -4 + 16n = (-12 + 18n) Solving -4 + 16n = -12 + 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 = -12 + 18n + -18n Combine like terms: 16n + -18n = -2n -4 + -2n = -12 + 18n + -18n Combine like terms: 18n + -18n = 0 -4 + -2n = -12 + 0 -4 + -2n = -12 Add '4' to each side of the equation. -4 + 4 + -2n = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -2n = -12 + 4 -2n = -12 + 4 Combine like terms: -12 + 4 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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