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Simplifying -97 = -7 + 6(-3 + -4n) -97 = -7 + (-3 * 6 + -4n * 6) -97 = -7 + (-18 + -24n) Combine like terms: -7 + -18 = -25 -97 = -25 + -24n Solving -97 = -25 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -97 + 24n = -25 + -24n + 24n Combine like terms: -24n + 24n = 0 -97 + 24n = -25 + 0 -97 + 24n = -25 Add '97' to each side of the equation. -97 + 97 + 24n = -25 + 97 Combine like terms: -97 + 97 = 0 0 + 24n = -25 + 97 24n = -25 + 97 Combine like terms: -25 + 97 = 72 24n = 72 Divide each side by '24'. n = 3 Simplifying n = 3
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