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Simplifying 4(n + 7) + 6(4n + -7) = 6n + -6 + 2n + -8 Reorder the terms: 4(7 + n) + 6(4n + -7) = 6n + -6 + 2n + -8 (7 * 4 + n * 4) + 6(4n + -7) = 6n + -6 + 2n + -8 (28 + 4n) + 6(4n + -7) = 6n + -6 + 2n + -8 Reorder the terms: 28 + 4n + 6(-7 + 4n) = 6n + -6 + 2n + -8 28 + 4n + (-7 * 6 + 4n * 6) = 6n + -6 + 2n + -8 28 + 4n + (-42 + 24n) = 6n + -6 + 2n + -8 Reorder the terms: 28 + -42 + 4n + 24n = 6n + -6 + 2n + -8 Combine like terms: 28 + -42 = -14 -14 + 4n + 24n = 6n + -6 + 2n + -8 Combine like terms: 4n + 24n = 28n -14 + 28n = 6n + -6 + 2n + -8 Reorder the terms: -14 + 28n = -6 + -8 + 6n + 2n Combine like terms: -6 + -8 = -14 -14 + 28n = -14 + 6n + 2n Combine like terms: 6n + 2n = 8n -14 + 28n = -14 + 8n Add '14' to each side of the equation. -14 + 14 + 28n = -14 + 14 + 8n Combine like terms: -14 + 14 = 0 0 + 28n = -14 + 14 + 8n 28n = -14 + 14 + 8n Combine like terms: -14 + 14 = 0 28n = 0 + 8n 28n = 8n Solving 28n = 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. 28n + -8n = 8n + -8n Combine like terms: 28n + -8n = 20n 20n = 8n + -8n Combine like terms: 8n + -8n = 0 20n = 0 Divide each side by '20'. n = 0.0 Simplifying n = 0.0
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