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Simplifying -7(3n + -8) = 2(1 + -5n) + 7n Reorder the terms: -7(-8 + 3n) = 2(1 + -5n) + 7n (-8 * -7 + 3n * -7) = 2(1 + -5n) + 7n (56 + -21n) = 2(1 + -5n) + 7n 56 + -21n = (1 * 2 + -5n * 2) + 7n 56 + -21n = (2 + -10n) + 7n Combine like terms: -10n + 7n = -3n 56 + -21n = 2 + -3n Solving 56 + -21n = 2 + -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 + -21n + 3n = 2 + -3n + 3n Combine like terms: -21n + 3n = -18n 56 + -18n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 56 + -18n = 2 + 0 56 + -18n = 2 Add '-56' to each side of the equation. 56 + -56 + -18n = 2 + -56 Combine like terms: 56 + -56 = 0 0 + -18n = 2 + -56 -18n = 2 + -56 Combine like terms: 2 + -56 = -54 -18n = -54 Divide each side by '-18'. n = 3 Simplifying n = 3
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