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Simplifying 5(n + -3) + 5(n + -5) = 0 Reorder the terms: 5(-3 + n) + 5(n + -5) = 0 (-3 * 5 + n * 5) + 5(n + -5) = 0 (-15 + 5n) + 5(n + -5) = 0 Reorder the terms: -15 + 5n + 5(-5 + n) = 0 -15 + 5n + (-5 * 5 + n * 5) = 0 -15 + 5n + (-25 + 5n) = 0 Reorder the terms: -15 + -25 + 5n + 5n = 0 Combine like terms: -15 + -25 = -40 -40 + 5n + 5n = 0 Combine like terms: 5n + 5n = 10n -40 + 10n = 0 Solving -40 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10n = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 10n = 0 + 40 10n = 0 + 40 Combine like terms: 0 + 40 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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