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Simplifying 2(5n + 4) = -7(n + -8) + n Reorder the terms: 2(4 + 5n) = -7(n + -8) + n (4 * 2 + 5n * 2) = -7(n + -8) + n (8 + 10n) = -7(n + -8) + n Reorder the terms: 8 + 10n = -7(-8 + n) + n 8 + 10n = (-8 * -7 + n * -7) + n 8 + 10n = (56 + -7n) + n Combine like terms: -7n + n = -6n 8 + 10n = 56 + -6n Solving 8 + 10n = 56 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 8 + 10n + 6n = 56 + -6n + 6n Combine like terms: 10n + 6n = 16n 8 + 16n = 56 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + 16n = 56 + 0 8 + 16n = 56 Add '-8' to each side of the equation. 8 + -8 + 16n = 56 + -8 Combine like terms: 8 + -8 = 0 0 + 16n = 56 + -8 16n = 56 + -8 Combine like terms: 56 + -8 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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