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Simplifying -119 = 2n + -5(7n + 4) Reorder the terms: -119 = 2n + -5(4 + 7n) -119 = 2n + (4 * -5 + 7n * -5) -119 = 2n + (-20 + -35n) Reorder the terms: -119 = -20 + 2n + -35n Combine like terms: 2n + -35n = -33n -119 = -20 + -33n Solving -119 = -20 + -33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '33n' to each side of the equation. -119 + 33n = -20 + -33n + 33n Combine like terms: -33n + 33n = 0 -119 + 33n = -20 + 0 -119 + 33n = -20 Add '119' to each side of the equation. -119 + 119 + 33n = -20 + 119 Combine like terms: -119 + 119 = 0 0 + 33n = -20 + 119 33n = -20 + 119 Combine like terms: -20 + 119 = 99 33n = 99 Divide each side by '33'. n = 3 Simplifying n = 3
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