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Simplifying 5(2n + -5) + -1(5n + -6) = 0 Reorder the terms: 5(-5 + 2n) + -1(5n + -6) = 0 (-5 * 5 + 2n * 5) + -1(5n + -6) = 0 (-25 + 10n) + -1(5n + -6) = 0 Reorder the terms: -25 + 10n + -1(-6 + 5n) = 0 -25 + 10n + (-6 * -1 + 5n * -1) = 0 -25 + 10n + (6 + -5n) = 0 Reorder the terms: -25 + 6 + 10n + -5n = 0 Combine like terms: -25 + 6 = -19 -19 + 10n + -5n = 0 Combine like terms: 10n + -5n = 5n -19 + 5n = 0 Solving -19 + 5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 5n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 5n = 0 + 19 5n = 0 + 19 Combine like terms: 0 + 19 = 19 5n = 19 Divide each side by '5'. n = 3.8 Simplifying n = 3.8
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