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Simplifying 4(7 + -7n) + 3n = -97 (7 * 4 + -7n * 4) + 3n = -97 (28 + -28n) + 3n = -97 Combine like terms: -28n + 3n = -25n 28 + -25n = -97 Solving 28 + -25n = -97 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -25n = -97 + -28 Combine like terms: 28 + -28 = 0 0 + -25n = -97 + -28 -25n = -97 + -28 Combine like terms: -97 + -28 = -125 -25n = -125 Divide each side by '-25'. n = 5 Simplifying n = 5
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