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Simplifying 8n + -3 = 14n + -3(4n + 13) Reorder the terms: -3 + 8n = 14n + -3(4n + 13) Reorder the terms: -3 + 8n = 14n + -3(13 + 4n) -3 + 8n = 14n + (13 * -3 + 4n * -3) -3 + 8n = 14n + (-39 + -12n) Reorder the terms: -3 + 8n = -39 + 14n + -12n Combine like terms: 14n + -12n = 2n -3 + 8n = -39 + 2n Solving -3 + 8n = -39 + 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. -3 + 8n + -2n = -39 + 2n + -2n Combine like terms: 8n + -2n = 6n -3 + 6n = -39 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + 6n = -39 + 0 -3 + 6n = -39 Add '3' to each side of the equation. -3 + 3 + 6n = -39 + 3 Combine like terms: -3 + 3 = 0 0 + 6n = -39 + 3 6n = -39 + 3 Combine like terms: -39 + 3 = -36 6n = -36 Divide each side by '6'. n = -6 Simplifying n = -6
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