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Simplifying -4(-14n + -20) + 19 = -20 + 19n + 20n Reorder the terms: -4(-20 + -14n) + 19 = -20 + 19n + 20n (-20 * -4 + -14n * -4) + 19 = -20 + 19n + 20n (80 + 56n) + 19 = -20 + 19n + 20n Reorder the terms: 80 + 19 + 56n = -20 + 19n + 20n Combine like terms: 80 + 19 = 99 99 + 56n = -20 + 19n + 20n Combine like terms: 19n + 20n = 39n 99 + 56n = -20 + 39n Solving 99 + 56n = -20 + 39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39n' to each side of the equation. 99 + 56n + -39n = -20 + 39n + -39n Combine like terms: 56n + -39n = 17n 99 + 17n = -20 + 39n + -39n Combine like terms: 39n + -39n = 0 99 + 17n = -20 + 0 99 + 17n = -20 Add '-99' to each side of the equation. 99 + -99 + 17n = -20 + -99 Combine like terms: 99 + -99 = 0 0 + 17n = -20 + -99 17n = -20 + -99 Combine like terms: -20 + -99 = -119 17n = -119 Divide each side by '17'. n = -7 Simplifying n = -7
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