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Simplifying 7(3n + -8) = 24 + 12n + -17 Reorder the terms: 7(-8 + 3n) = 24 + 12n + -17 (-8 * 7 + 3n * 7) = 24 + 12n + -17 (-56 + 21n) = 24 + 12n + -17 Reorder the terms: -56 + 21n = 24 + -17 + 12n Combine like terms: 24 + -17 = 7 -56 + 21n = 7 + 12n Solving -56 + 21n = 7 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -56 + 21n + -12n = 7 + 12n + -12n Combine like terms: 21n + -12n = 9n -56 + 9n = 7 + 12n + -12n Combine like terms: 12n + -12n = 0 -56 + 9n = 7 + 0 -56 + 9n = 7 Add '56' to each side of the equation. -56 + 56 + 9n = 7 + 56 Combine like terms: -56 + 56 = 0 0 + 9n = 7 + 56 9n = 7 + 56 Combine like terms: 7 + 56 = 63 9n = 63 Divide each side by '9'. n = 7 Simplifying n = 7
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