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Simplifying -2[4n + 5] = -6[n + -3] + -8 Reorder the terms: -2[5 + 4n] = -6[n + -3] + -8 [5 * -2 + 4n * -2] = -6[n + -3] + -8 [-10 + -8n] = -6[n + -3] + -8 Reorder the terms: -10 + -8n = -6[-3 + n] + -8 -10 + -8n = [-3 * -6 + n * -6] + -8 -10 + -8n = [18 + -6n] + -8 Reorder the terms: -10 + -8n = 18 + -8 + -6n Combine like terms: 18 + -8 = 10 -10 + -8n = 10 + -6n Solving -10 + -8n = 10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -10 + -8n + 6n = 10 + -6n + 6n Combine like terms: -8n + 6n = -2n -10 + -2n = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 -10 + -2n = 10 + 0 -10 + -2n = 10 Add '10' to each side of the equation. -10 + 10 + -2n = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 10 + 10 -2n = 10 + 10 Combine like terms: 10 + 10 = 20 -2n = 20 Divide each side by '-2'. n = -10 Simplifying n = -10
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