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Simplifying 5n + -2(n + 4) = -7n + -8 Reorder the terms: 5n + -2(4 + n) = -7n + -8 5n + (4 * -2 + n * -2) = -7n + -8 5n + (-8 + -2n) = -7n + -8 Reorder the terms: -8 + 5n + -2n = -7n + -8 Combine like terms: 5n + -2n = 3n -8 + 3n = -7n + -8 Reorder the terms: -8 + 3n = -8 + -7n Add '8' to each side of the equation. -8 + 8 + 3n = -8 + 8 + -7n Combine like terms: -8 + 8 = 0 0 + 3n = -8 + 8 + -7n 3n = -8 + 8 + -7n Combine like terms: -8 + 8 = 0 3n = 0 + -7n 3n = -7n Solving 3n = -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. 3n + 7n = -7n + 7n Combine like terms: 3n + 7n = 10n 10n = -7n + 7n Combine like terms: -7n + 7n = 0 10n = 0 Divide each side by '10'. n = 0.0 Simplifying n = 0.0
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