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Simplifying 2n + -2(4n + 5) = -1(n + -3) + -8 Reorder the terms: 2n + -2(5 + 4n) = -1(n + -3) + -8 2n + (5 * -2 + 4n * -2) = -1(n + -3) + -8 2n + (-10 + -8n) = -1(n + -3) + -8 Reorder the terms: -10 + 2n + -8n = -1(n + -3) + -8 Combine like terms: 2n + -8n = -6n -10 + -6n = -1(n + -3) + -8 Reorder the terms: -10 + -6n = -1(-3 + n) + -8 -10 + -6n = (-3 * -1 + n * -1) + -8 -10 + -6n = (3 + -1n) + -8 Reorder the terms: -10 + -6n = 3 + -8 + -1n Combine like terms: 3 + -8 = -5 -10 + -6n = -5 + -1n Solving -10 + -6n = -5 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -10 + -6n + n = -5 + -1n + n Combine like terms: -6n + n = -5n -10 + -5n = -5 + -1n + n Combine like terms: -1n + n = 0 -10 + -5n = -5 + 0 -10 + -5n = -5 Add '10' to each side of the equation. -10 + 10 + -5n = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -5n = -5 + 10 -5n = -5 + 10 Combine like terms: -5 + 10 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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