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