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Simplifying -8(n + 3) + -1(1 + -6n) = -3n Reorder the terms: -8(3 + n) + -1(1 + -6n) = -3n (3 * -8 + n * -8) + -1(1 + -6n) = -3n (-24 + -8n) + -1(1 + -6n) = -3n -24 + -8n + (1 * -1 + -6n * -1) = -3n -24 + -8n + (-1 + 6n) = -3n Reorder the terms: -24 + -1 + -8n + 6n = -3n Combine like terms: -24 + -1 = -25 -25 + -8n + 6n = -3n Combine like terms: -8n + 6n = -2n -25 + -2n = -3n Solving -25 + -2n = -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -25 + -2n + 3n = -3n + 3n Combine like terms: -2n + 3n = 1n -25 + 1n = -3n + 3n Combine like terms: -3n + 3n = 0 -25 + 1n = 0 Add '25' to each side of the equation. -25 + 25 + 1n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1n = 0 + 25 1n = 0 + 25 Combine like terms: 0 + 25 = 25 1n = 25 Divide each side by '1'. n = 25 Simplifying n = 25
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