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Simplifying 194 = -3(7n + -1) + 2 Reorder the terms: 194 = -3(-1 + 7n) + 2 194 = (-1 * -3 + 7n * -3) + 2 194 = (3 + -21n) + 2 Reorder the terms: 194 = 3 + 2 + -21n Combine like terms: 3 + 2 = 5 194 = 5 + -21n Solving 194 = 5 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 194 + 21n = 5 + -21n + 21n Combine like terms: -21n + 21n = 0 194 + 21n = 5 + 0 194 + 21n = 5 Add '-194' to each side of the equation. 194 + -194 + 21n = 5 + -194 Combine like terms: 194 + -194 = 0 0 + 21n = 5 + -194 21n = 5 + -194 Combine like terms: 5 + -194 = -189 21n = -189 Divide each side by '21'. n = -9 Simplifying n = -9
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