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Simplifying -8(n + 3) + -6(n + 5) = n + 3n Reorder the terms: -8(3 + n) + -6(n + 5) = n + 3n (3 * -8 + n * -8) + -6(n + 5) = n + 3n (-24 + -8n) + -6(n + 5) = n + 3n Reorder the terms: -24 + -8n + -6(5 + n) = n + 3n -24 + -8n + (5 * -6 + n * -6) = n + 3n -24 + -8n + (-30 + -6n) = n + 3n Reorder the terms: -24 + -30 + -8n + -6n = n + 3n Combine like terms: -24 + -30 = -54 -54 + -8n + -6n = n + 3n Combine like terms: -8n + -6n = -14n -54 + -14n = n + 3n Combine like terms: n + 3n = 4n -54 + -14n = 4n Solving -54 + -14n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -54 + -14n + -4n = 4n + -4n Combine like terms: -14n + -4n = -18n -54 + -18n = 4n + -4n Combine like terms: 4n + -4n = 0 -54 + -18n = 0 Add '54' to each side of the equation. -54 + 54 + -18n = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -18n = 0 + 54 -18n = 0 + 54 Combine like terms: 0 + 54 = 54 -18n = 54 Divide each side by '-18'. n = -3 Simplifying n = -3
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