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Simplifying -8(4 + -2n) = 6(n + 3) (4 * -8 + -2n * -8) = 6(n + 3) (-32 + 16n) = 6(n + 3) Reorder the terms: -32 + 16n = 6(3 + n) -32 + 16n = (3 * 6 + n * 6) -32 + 16n = (18 + 6n) Solving -32 + 16n = 18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -32 + 16n + -6n = 18 + 6n + -6n Combine like terms: 16n + -6n = 10n -32 + 10n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -32 + 10n = 18 + 0 -32 + 10n = 18 Add '32' to each side of the equation. -32 + 32 + 10n = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 10n = 18 + 32 10n = 18 + 32 Combine like terms: 18 + 32 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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