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Simplifying 4(n + -3) + -1(5 + -6n) = 9n Reorder the terms: 4(-3 + n) + -1(5 + -6n) = 9n (-3 * 4 + n * 4) + -1(5 + -6n) = 9n (-12 + 4n) + -1(5 + -6n) = 9n -12 + 4n + (5 * -1 + -6n * -1) = 9n -12 + 4n + (-5 + 6n) = 9n Reorder the terms: -12 + -5 + 4n + 6n = 9n Combine like terms: -12 + -5 = -17 -17 + 4n + 6n = 9n Combine like terms: 4n + 6n = 10n -17 + 10n = 9n Solving -17 + 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. -17 + 10n + -9n = 9n + -9n Combine like terms: 10n + -9n = 1n -17 + 1n = 9n + -9n Combine like terms: 9n + -9n = 0 -17 + 1n = 0 Add '17' to each side of the equation. -17 + 17 + 1n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1n = 0 + 17 1n = 0 + 17 Combine like terms: 0 + 17 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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