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Simplifying -97 = 6(3n + -2) + -1n Reorder the terms: -97 = 6(-2 + 3n) + -1n -97 = (-2 * 6 + 3n * 6) + -1n -97 = (-12 + 18n) + -1n Combine like terms: 18n + -1n = 17n -97 = -12 + 17n Solving -97 = -12 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -97 + -17n = -12 + 17n + -17n Combine like terms: 17n + -17n = 0 -97 + -17n = -12 + 0 -97 + -17n = -12 Add '97' to each side of the equation. -97 + 97 + -17n = -12 + 97 Combine like terms: -97 + 97 = 0 0 + -17n = -12 + 97 -17n = -12 + 97 Combine like terms: -12 + 97 = 85 -17n = 85 Divide each side by '-17'. n = -5 Simplifying n = -5
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