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Simplifying 3(n + -5) + -1(4 + -7n) = 9n Reorder the terms: 3(-5 + n) + -1(4 + -7n) = 9n (-5 * 3 + n * 3) + -1(4 + -7n) = 9n (-15 + 3n) + -1(4 + -7n) = 9n -15 + 3n + (4 * -1 + -7n * -1) = 9n -15 + 3n + (-4 + 7n) = 9n Reorder the terms: -15 + -4 + 3n + 7n = 9n Combine like terms: -15 + -4 = -19 -19 + 3n + 7n = 9n Combine like terms: 3n + 7n = 10n -19 + 10n = 9n Solving -19 + 10n = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -19 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -19 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -19 + 1n = 0 Add '19' to each side of the equation. -19 + 19 + 1n = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 1n = 0 + 19 1n = 0 + 19 Combine like terms: 0 + 19 = 19 1n = 19 Divide each side by '1'. n = 19 Simplifying n = 19
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