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