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Simplifying -8(n + 3) + -8n = -6(3n + -1) Reorder the terms: -8(3 + n) + -8n = -6(3n + -1) (3 * -8 + n * -8) + -8n = -6(3n + -1) (-24 + -8n) + -8n = -6(3n + -1) Combine like terms: -8n + -8n = -16n -24 + -16n = -6(3n + -1) Reorder the terms: -24 + -16n = -6(-1 + 3n) -24 + -16n = (-1 * -6 + 3n * -6) -24 + -16n = (6 + -18n) Solving -24 + -16n = 6 + -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. -24 + -16n + 18n = 6 + -18n + 18n Combine like terms: -16n + 18n = 2n -24 + 2n = 6 + -18n + 18n Combine like terms: -18n + 18n = 0 -24 + 2n = 6 + 0 -24 + 2n = 6 Add '24' to each side of the equation. -24 + 24 + 2n = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 2n = 6 + 24 2n = 6 + 24 Combine like terms: 6 + 24 = 30 2n = 30 Divide each side by '2'. n = 15 Simplifying n = 15
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