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Simplifying 5(x + 7 + 2n) = 0 Reorder the terms: 5(7 + 2n + x) = 0 (7 * 5 + 2n * 5 + x * 5) = 0 (35 + 10n + 5x) = 0 Solving 35 + 10n + 5x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 10n + -35 + 5x = 0 + -35 Reorder the terms: 35 + -35 + 10n + 5x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 10n + 5x = 0 + -35 10n + 5x = 0 + -35 Combine like terms: 0 + -35 = -35 10n + 5x = -35 Add '-5x' to each side of the equation. 10n + 5x + -5x = -35 + -5x Combine like terms: 5x + -5x = 0 10n + 0 = -35 + -5x 10n = -35 + -5x Divide each side by '10'. n = -3.5 + -0.5x Simplifying n = -3.5 + -0.5x
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