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Simplifying 8n + 4[-5 + -7n] = -2[n + 1] 8n + [-5 * 4 + -7n * 4] = -2[n + 1] 8n + [-20 + -28n] = -2[n + 1] Reorder the terms: -20 + 8n + -28n = -2[n + 1] Combine like terms: 8n + -28n = -20n -20 + -20n = -2[n + 1] Reorder the terms: -20 + -20n = -2[1 + n] -20 + -20n = [1 * -2 + n * -2] -20 + -20n = [-2 + -2n] Solving -20 + -20n = -2 + -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. -20 + -20n + 2n = -2 + -2n + 2n Combine like terms: -20n + 2n = -18n -20 + -18n = -2 + -2n + 2n Combine like terms: -2n + 2n = 0 -20 + -18n = -2 + 0 -20 + -18n = -2 Add '20' to each side of the equation. -20 + 20 + -18n = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -18n = -2 + 20 -18n = -2 + 20 Combine like terms: -2 + 20 = 18 -18n = 18 Divide each side by '-18'. n = -1 Simplifying n = -1
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