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Simplifying 5n + -2(n + -8) = 14 + -7n Reorder the terms: 5n + -2(-8 + n) = 14 + -7n 5n + (-8 * -2 + n * -2) = 14 + -7n 5n + (16 + -2n) = 14 + -7n Reorder the terms: 16 + 5n + -2n = 14 + -7n Combine like terms: 5n + -2n = 3n 16 + 3n = 14 + -7n Solving 16 + 3n = 14 + -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 + 3n + 7n = 14 + -7n + 7n Combine like terms: 3n + 7n = 10n 16 + 10n = 14 + -7n + 7n Combine like terms: -7n + 7n = 0 16 + 10n = 14 + 0 16 + 10n = 14 Add '-16' to each side of the equation. 16 + -16 + 10n = 14 + -16 Combine like terms: 16 + -16 = 0 0 + 10n = 14 + -16 10n = 14 + -16 Combine like terms: 14 + -16 = -2 10n = -2 Divide each side by '10'. n = -0.2 Simplifying n = -0.2
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