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Simplifying 5(n + -2) + -1(5 + -1n) = 0 Reorder the terms: 5(-2 + n) + -1(5 + -1n) = 0 (-2 * 5 + n * 5) + -1(5 + -1n) = 0 (-10 + 5n) + -1(5 + -1n) = 0 -10 + 5n + (5 * -1 + -1n * -1) = 0 -10 + 5n + (-5 + 1n) = 0 Reorder the terms: -10 + -5 + 5n + 1n = 0 Combine like terms: -10 + -5 = -15 -15 + 5n + 1n = 0 Combine like terms: 5n + 1n = 6n -15 + 6n = 0 Solving -15 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 0 + 15 6n = 0 + 15 Combine like terms: 0 + 15 = 15 6n = 15 Divide each side by '6'. n = 2.5 Simplifying n = 2.5
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