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Simplifying 6(1 + -4n) + 8(n + -2) = 0 (1 * 6 + -4n * 6) + 8(n + -2) = 0 (6 + -24n) + 8(n + -2) = 0 Reorder the terms: 6 + -24n + 8(-2 + n) = 0 6 + -24n + (-2 * 8 + n * 8) = 0 6 + -24n + (-16 + 8n) = 0 Reorder the terms: 6 + -16 + -24n + 8n = 0 Combine like terms: 6 + -16 = -10 -10 + -24n + 8n = 0 Combine like terms: -24n + 8n = -16n -10 + -16n = 0 Solving -10 + -16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -16n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -16n = 0 + 10 -16n = 0 + 10 Combine like terms: 0 + 10 = 10 -16n = 10 Divide each side by '-16'. n = -0.625 Simplifying n = -0.625
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