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Simplifying -8(6 + 8n) + 6 = 14 + -8n (6 * -8 + 8n * -8) + 6 = 14 + -8n (-48 + -64n) + 6 = 14 + -8n Reorder the terms: -48 + 6 + -64n = 14 + -8n Combine like terms: -48 + 6 = -42 -42 + -64n = 14 + -8n Solving -42 + -64n = 14 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -42 + -64n + 8n = 14 + -8n + 8n Combine like terms: -64n + 8n = -56n -42 + -56n = 14 + -8n + 8n Combine like terms: -8n + 8n = 0 -42 + -56n = 14 + 0 -42 + -56n = 14 Add '42' to each side of the equation. -42 + 42 + -56n = 14 + 42 Combine like terms: -42 + 42 = 0 0 + -56n = 14 + 42 -56n = 14 + 42 Combine like terms: 14 + 42 = 56 -56n = 56 Divide each side by '-56'. n = -1 Simplifying n = -1
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