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Simplifying -4(n + -5) + -1(-7n + -4) = 2n Reorder the terms: -4(-5 + n) + -1(-7n + -4) = 2n (-5 * -4 + n * -4) + -1(-7n + -4) = 2n (20 + -4n) + -1(-7n + -4) = 2n Reorder the terms: 20 + -4n + -1(-4 + -7n) = 2n 20 + -4n + (-4 * -1 + -7n * -1) = 2n 20 + -4n + (4 + 7n) = 2n Reorder the terms: 20 + 4 + -4n + 7n = 2n Combine like terms: 20 + 4 = 24 24 + -4n + 7n = 2n Combine like terms: -4n + 7n = 3n 24 + 3n = 2n Solving 24 + 3n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 24 + 3n + -2n = 2n + -2n Combine like terms: 3n + -2n = 1n 24 + 1n = 2n + -2n Combine like terms: 2n + -2n = 0 24 + 1n = 0 Add '-24' to each side of the equation. 24 + -24 + 1n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1n = 0 + -24 1n = 0 + -24 Combine like terms: 0 + -24 = -24 1n = -24 Divide each side by '1'. n = -24 Simplifying n = -24
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