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Simplifying 5(n + 5) + 5(n + -4) = -35 Reorder the terms: 5(5 + n) + 5(n + -4) = -35 (5 * 5 + n * 5) + 5(n + -4) = -35 (25 + 5n) + 5(n + -4) = -35 Reorder the terms: 25 + 5n + 5(-4 + n) = -35 25 + 5n + (-4 * 5 + n * 5) = -35 25 + 5n + (-20 + 5n) = -35 Reorder the terms: 25 + -20 + 5n + 5n = -35 Combine like terms: 25 + -20 = 5 5 + 5n + 5n = -35 Combine like terms: 5n + 5n = 10n 5 + 10n = -35 Solving 5 + 10n = -35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10n = -35 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = -35 + -5 10n = -35 + -5 Combine like terms: -35 + -5 = -40 10n = -40 Divide each side by '10'. n = -4 Simplifying n = -4
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