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Simplifying 4(7n + -6) + -8(n + -3) = -4n + 6n Reorder the terms: 4(-6 + 7n) + -8(n + -3) = -4n + 6n (-6 * 4 + 7n * 4) + -8(n + -3) = -4n + 6n (-24 + 28n) + -8(n + -3) = -4n + 6n Reorder the terms: -24 + 28n + -8(-3 + n) = -4n + 6n -24 + 28n + (-3 * -8 + n * -8) = -4n + 6n -24 + 28n + (24 + -8n) = -4n + 6n Reorder the terms: -24 + 24 + 28n + -8n = -4n + 6n Combine like terms: -24 + 24 = 0 0 + 28n + -8n = -4n + 6n 28n + -8n = -4n + 6n Combine like terms: 28n + -8n = 20n 20n = -4n + 6n Combine like terms: -4n + 6n = 2n 20n = 2n Solving 20n = 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. 20n + -2n = 2n + -2n Combine like terms: 20n + -2n = 18n 18n = 2n + -2n Combine like terms: 2n + -2n = 0 18n = 0 Divide each side by '18'. n = 0 Simplifying n = 0
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