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Simplifying 3(-7n + -1) = 4n + 97 Reorder the terms: 3(-1 + -7n) = 4n + 97 (-1 * 3 + -7n * 3) = 4n + 97 (-3 + -21n) = 4n + 97 Reorder the terms: -3 + -21n = 97 + 4n Solving -3 + -21n = 97 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -3 + -21n + -4n = 97 + 4n + -4n Combine like terms: -21n + -4n = -25n -3 + -25n = 97 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + -25n = 97 + 0 -3 + -25n = 97 Add '3' to each side of the equation. -3 + 3 + -25n = 97 + 3 Combine like terms: -3 + 3 = 0 0 + -25n = 97 + 3 -25n = 97 + 3 Combine like terms: 97 + 3 = 100 -25n = 100 Divide each side by '-25'. n = -4 Simplifying n = -4
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