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Simplifying 2n + -1(8 + 2n) = 6(3n + -4) 2n + (8 * -1 + 2n * -1) = 6(3n + -4) 2n + (-8 + -2n) = 6(3n + -4) Reorder the terms: -8 + 2n + -2n = 6(3n + -4) Combine like terms: 2n + -2n = 0 -8 + 0 = 6(3n + -4) -8 = 6(3n + -4) Reorder the terms: -8 = 6(-4 + 3n) -8 = (-4 * 6 + 3n * 6) -8 = (-24 + 18n) Solving -8 = -24 + 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. -8 + -18n = -24 + 18n + -18n Combine like terms: 18n + -18n = 0 -8 + -18n = -24 + 0 -8 + -18n = -24 Add '8' to each side of the equation. -8 + 8 + -18n = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -18n = -24 + 8 -18n = -24 + 8 Combine like terms: -24 + 8 = -16 -18n = -16 Divide each side by '-18'. n = 0.8888888889 Simplifying n = 0.8888888889
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