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Simplifying -4n + -2(8n + 1) = -1(-2n + -10) Reorder the terms: -4n + -2(1 + 8n) = -1(-2n + -10) -4n + (1 * -2 + 8n * -2) = -1(-2n + -10) -4n + (-2 + -16n) = -1(-2n + -10) Reorder the terms: -2 + -4n + -16n = -1(-2n + -10) Combine like terms: -4n + -16n = -20n -2 + -20n = -1(-2n + -10) Reorder the terms: -2 + -20n = -1(-10 + -2n) -2 + -20n = (-10 * -1 + -2n * -1) -2 + -20n = (10 + 2n) Solving -2 + -20n = 10 + 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. -2 + -20n + -2n = 10 + 2n + -2n Combine like terms: -20n + -2n = -22n -2 + -22n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 -2 + -22n = 10 + 0 -2 + -22n = 10 Add '2' to each side of the equation. -2 + 2 + -22n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -22n = 10 + 2 -22n = 10 + 2 Combine like terms: 10 + 2 = 12 -22n = 12 Divide each side by '-22'. n = -0.5454545455 Simplifying n = -0.5454545455
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