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Simplifying -40n + -2(-39n + 40) = 19n + 20(2n + -4) Reorder the terms: -40n + -2(40 + -39n) = 19n + 20(2n + -4) -40n + (40 * -2 + -39n * -2) = 19n + 20(2n + -4) -40n + (-80 + 78n) = 19n + 20(2n + -4) Reorder the terms: -80 + -40n + 78n = 19n + 20(2n + -4) Combine like terms: -40n + 78n = 38n -80 + 38n = 19n + 20(2n + -4) Reorder the terms: -80 + 38n = 19n + 20(-4 + 2n) -80 + 38n = 19n + (-4 * 20 + 2n * 20) -80 + 38n = 19n + (-80 + 40n) Reorder the terms: -80 + 38n = -80 + 19n + 40n Combine like terms: 19n + 40n = 59n -80 + 38n = -80 + 59n Add '80' to each side of the equation. -80 + 80 + 38n = -80 + 80 + 59n Combine like terms: -80 + 80 = 0 0 + 38n = -80 + 80 + 59n 38n = -80 + 80 + 59n Combine like terms: -80 + 80 = 0 38n = 0 + 59n 38n = 59n Solving 38n = 59n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-59n' to each side of the equation. 38n + -59n = 59n + -59n Combine like terms: 38n + -59n = -21n -21n = 59n + -59n Combine like terms: 59n + -59n = 0 -21n = 0 Divide each side by '-21'. n = 0 Simplifying n = 0
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