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Simplifying 2(5n + -8) = -31 + 7n Reorder the terms: 2(-8 + 5n) = -31 + 7n (-8 * 2 + 5n * 2) = -31 + 7n (-16 + 10n) = -31 + 7n Solving -16 + 10n = -31 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -16 + 10n + -7n = -31 + 7n + -7n Combine like terms: 10n + -7n = 3n -16 + 3n = -31 + 7n + -7n Combine like terms: 7n + -7n = 0 -16 + 3n = -31 + 0 -16 + 3n = -31 Add '16' to each side of the equation. -16 + 16 + 3n = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 3n = -31 + 16 3n = -31 + 16 Combine like terms: -31 + 16 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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