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Simplifying 3n + -2(n + 5) = 45 Reorder the terms: 3n + -2(5 + n) = 45 3n + (5 * -2 + n * -2) = 45 3n + (-10 + -2n) = 45 Reorder the terms: -10 + 3n + -2n = 45 Combine like terms: 3n + -2n = 1n -10 + 1n = 45 Solving -10 + 1n = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 1n = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 1n = 45 + 10 1n = 45 + 10 Combine like terms: 45 + 10 = 55 1n = 55 Divide each side by '1'. n = 55 Simplifying n = 55
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