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Simplifying 4(n + 2) + -1(9n + -4) = -6n Reorder the terms: 4(2 + n) + -1(9n + -4) = -6n (2 * 4 + n * 4) + -1(9n + -4) = -6n (8 + 4n) + -1(9n + -4) = -6n Reorder the terms: 8 + 4n + -1(-4 + 9n) = -6n 8 + 4n + (-4 * -1 + 9n * -1) = -6n 8 + 4n + (4 + -9n) = -6n Reorder the terms: 8 + 4 + 4n + -9n = -6n Combine like terms: 8 + 4 = 12 12 + 4n + -9n = -6n Combine like terms: 4n + -9n = -5n 12 + -5n = -6n Solving 12 + -5n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 12 + -5n + 6n = -6n + 6n Combine like terms: -5n + 6n = 1n 12 + 1n = -6n + 6n Combine like terms: -6n + 6n = 0 12 + 1n = 0 Add '-12' to each side of the equation. 12 + -12 + 1n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 0 + -12 1n = 0 + -12 Combine like terms: 0 + -12 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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