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Simplifying 371 = -7(6n + -5) Reorder the terms: 371 = -7(-5 + 6n) 371 = (-5 * -7 + 6n * -7) 371 = (35 + -42n) Solving 371 = 35 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 371 + 42n = 35 + -42n + 42n Combine like terms: -42n + 42n = 0 371 + 42n = 35 + 0 371 + 42n = 35 Add '-371' to each side of the equation. 371 + -371 + 42n = 35 + -371 Combine like terms: 371 + -371 = 0 0 + 42n = 35 + -371 42n = 35 + -371 Combine like terms: 35 + -371 = -336 42n = -336 Divide each side by '42'. n = -8 Simplifying n = -8
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