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Simplifying 8(1 + 2n) + -4(n + 6) = -6 + 2n (1 * 8 + 2n * 8) + -4(n + 6) = -6 + 2n (8 + 16n) + -4(n + 6) = -6 + 2n Reorder the terms: 8 + 16n + -4(6 + n) = -6 + 2n 8 + 16n + (6 * -4 + n * -4) = -6 + 2n 8 + 16n + (-24 + -4n) = -6 + 2n Reorder the terms: 8 + -24 + 16n + -4n = -6 + 2n Combine like terms: 8 + -24 = -16 -16 + 16n + -4n = -6 + 2n Combine like terms: 16n + -4n = 12n -16 + 12n = -6 + 2n Solving -16 + 12n = -6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -16 + 12n + -2n = -6 + 2n + -2n Combine like terms: 12n + -2n = 10n -16 + 10n = -6 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + 10n = -6 + 0 -16 + 10n = -6 Add '16' to each side of the equation. -16 + 16 + 10n = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 10n = -6 + 16 10n = -6 + 16 Combine like terms: -6 + 16 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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