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Simplifying 1(8n + -2) = -2(-8 + 9n) + -5 Reorder the terms: 1(-2 + 8n) = -2(-8 + 9n) + -5 (-2 * 1 + 8n * 1) = -2(-8 + 9n) + -5 (-2 + 8n) = -2(-8 + 9n) + -5 -2 + 8n = (-8 * -2 + 9n * -2) + -5 -2 + 8n = (16 + -18n) + -5 Reorder the terms: -2 + 8n = 16 + -5 + -18n Combine like terms: 16 + -5 = 11 -2 + 8n = 11 + -18n Solving -2 + 8n = 11 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -2 + 8n + 18n = 11 + -18n + 18n Combine like terms: 8n + 18n = 26n -2 + 26n = 11 + -18n + 18n Combine like terms: -18n + 18n = 0 -2 + 26n = 11 + 0 -2 + 26n = 11 Add '2' to each side of the equation. -2 + 2 + 26n = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 26n = 11 + 2 26n = 11 + 2 Combine like terms: 11 + 2 = 13 26n = 13 Divide each side by '26'. n = 0.5 Simplifying n = 0.5
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