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Simplifying -2(n + 9) + -1(4 + 6n) = -9n Reorder the terms: -2(9 + n) + -1(4 + 6n) = -9n (9 * -2 + n * -2) + -1(4 + 6n) = -9n (-18 + -2n) + -1(4 + 6n) = -9n -18 + -2n + (4 * -1 + 6n * -1) = -9n -18 + -2n + (-4 + -6n) = -9n Reorder the terms: -18 + -4 + -2n + -6n = -9n Combine like terms: -18 + -4 = -22 -22 + -2n + -6n = -9n Combine like terms: -2n + -6n = -8n -22 + -8n = -9n Solving -22 + -8n = -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. -22 + -8n + 9n = -9n + 9n Combine like terms: -8n + 9n = 1n -22 + 1n = -9n + 9n Combine like terms: -9n + 9n = 0 -22 + 1n = 0 Add '22' to each side of the equation. -22 + 22 + 1n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1n = 0 + 22 1n = 0 + 22 Combine like terms: 0 + 22 = 22 1n = 22 Divide each side by '1'. n = 22 Simplifying n = 22
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