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Simplifying 7(n + -8) + 7n = 10 + 3n Reorder the terms: 7(-8 + n) + 7n = 10 + 3n (-8 * 7 + n * 7) + 7n = 10 + 3n (-56 + 7n) + 7n = 10 + 3n Combine like terms: 7n + 7n = 14n -56 + 14n = 10 + 3n Solving -56 + 14n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -56 + 14n + -3n = 10 + 3n + -3n Combine like terms: 14n + -3n = 11n -56 + 11n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -56 + 11n = 10 + 0 -56 + 11n = 10 Add '56' to each side of the equation. -56 + 56 + 11n = 10 + 56 Combine like terms: -56 + 56 = 0 0 + 11n = 10 + 56 11n = 10 + 56 Combine like terms: 10 + 56 = 66 11n = 66 Divide each side by '11'. n = 6 Simplifying n = 6
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