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Simplifying 7(n + -4) + -1(5 + -3n) = 9n Reorder the terms: 7(-4 + n) + -1(5 + -3n) = 9n (-4 * 7 + n * 7) + -1(5 + -3n) = 9n (-28 + 7n) + -1(5 + -3n) = 9n -28 + 7n + (5 * -1 + -3n * -1) = 9n -28 + 7n + (-5 + 3n) = 9n Reorder the terms: -28 + -5 + 7n + 3n = 9n Combine like terms: -28 + -5 = -33 -33 + 7n + 3n = 9n Combine like terms: 7n + 3n = 10n -33 + 10n = 9n Solving -33 + 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. -33 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -33 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -33 + 1n = 0 Add '33' to each side of the equation. -33 + 33 + 1n = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1n = 0 + 33 1n = 0 + 33 Combine like terms: 0 + 33 = 33 1n = 33 Divide each side by '1'. n = 33 Simplifying n = 33
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