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Simplifying -5n + -2(2n + -4) = -6n + 1 Reorder the terms: -5n + -2(-4 + 2n) = -6n + 1 -5n + (-4 * -2 + 2n * -2) = -6n + 1 -5n + (8 + -4n) = -6n + 1 Reorder the terms: 8 + -5n + -4n = -6n + 1 Combine like terms: -5n + -4n = -9n 8 + -9n = -6n + 1 Reorder the terms: 8 + -9n = 1 + -6n Solving 8 + -9n = 1 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 8 + -9n + 6n = 1 + -6n + 6n Combine like terms: -9n + 6n = -3n 8 + -3n = 1 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + -3n = 1 + 0 8 + -3n = 1 Add '-8' to each side of the equation. 8 + -8 + -3n = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -3n = 1 + -8 -3n = 1 + -8 Combine like terms: 1 + -8 = -7 -3n = -7 Divide each side by '-3'. n = 2.333333333 Simplifying n = 2.333333333
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