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Simplifying 5n + -2 + -1(3n + -4) = 10 Reorder the terms: 5n + -2 + -1(-4 + 3n) = 10 5n + -2 + (-4 * -1 + 3n * -1) = 10 5n + -2 + (4 + -3n) = 10 Reorder the terms: -2 + 4 + 5n + -3n = 10 Combine like terms: -2 + 4 = 2 2 + 5n + -3n = 10 Combine like terms: 5n + -3n = 2n 2 + 2n = 10 Solving 2 + 2n = 10 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 + 2n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 10 + -2 2n = 10 + -2 Combine like terms: 10 + -2 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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