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Simplifying 2n + 4(-1 + -7n) = -40 + -8n 2n + (-1 * 4 + -7n * 4) = -40 + -8n 2n + (-4 + -28n) = -40 + -8n Reorder the terms: -4 + 2n + -28n = -40 + -8n Combine like terms: 2n + -28n = -26n -4 + -26n = -40 + -8n Solving -4 + -26n = -40 + -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. -4 + -26n + 8n = -40 + -8n + 8n Combine like terms: -26n + 8n = -18n -4 + -18n = -40 + -8n + 8n Combine like terms: -8n + 8n = 0 -4 + -18n = -40 + 0 -4 + -18n = -40 Add '4' to each side of the equation. -4 + 4 + -18n = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -18n = -40 + 4 -18n = -40 + 4 Combine like terms: -40 + 4 = -36 -18n = -36 Divide each side by '-18'. n = 2 Simplifying n = 2
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