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Simplifying -8n + r(1 + 5n) = -6n + -14 -8n + (1 * r + 5n * r) = -6n + -14 Reorder the terms: -8n + (5nr + 1r) = -6n + -14 -8n + (5nr + 1r) = -6n + -14 Reorder the terms: -8n + 5nr + 1r = -14 + -6n Solving -8n + 5nr + 1r = -14 + -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. -8n + 5nr + 6n + 1r = -14 + -6n + 6n Reorder the terms: -8n + 6n + 5nr + 1r = -14 + -6n + 6n Combine like terms: -8n + 6n = -2n -2n + 5nr + 1r = -14 + -6n + 6n Combine like terms: -6n + 6n = 0 -2n + 5nr + 1r = -14 + 0 -2n + 5nr + 1r = -14 Add '-1r' to each side of the equation. -2n + 5nr + 1r + -1r = -14 + -1r Combine like terms: 1r + -1r = 0 -2n + 5nr + 0 = -14 + -1r -2n + 5nr = -14 + -1r Reorder the terms: 14 + -2n + 5nr + r = -14 + -1r + 14 + r Reorder the terms: 14 + -2n + 5nr + r = -14 + 14 + -1r + r Combine like terms: -14 + 14 = 0 14 + -2n + 5nr + r = 0 + -1r + r 14 + -2n + 5nr + r = -1r + r Combine like terms: -1r + r = 0 14 + -2n + 5nr + r = 0 The solution to this equation could not be determined.
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