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Simplifying 2(n + -9) + -1(8n + -9) = -7n Reorder the terms: 2(-9 + n) + -1(8n + -9) = -7n (-9 * 2 + n * 2) + -1(8n + -9) = -7n (-18 + 2n) + -1(8n + -9) = -7n Reorder the terms: -18 + 2n + -1(-9 + 8n) = -7n -18 + 2n + (-9 * -1 + 8n * -1) = -7n -18 + 2n + (9 + -8n) = -7n Reorder the terms: -18 + 9 + 2n + -8n = -7n Combine like terms: -18 + 9 = -9 -9 + 2n + -8n = -7n Combine like terms: 2n + -8n = -6n -9 + -6n = -7n Solving -9 + -6n = -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -9 + -6n + 7n = -7n + 7n Combine like terms: -6n + 7n = 1n -9 + 1n = -7n + 7n Combine like terms: -7n + 7n = 0 -9 + 1n = 0 Add '9' to each side of the equation. -9 + 9 + 1n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1n = 0 + 9 1n = 0 + 9 Combine like terms: 0 + 9 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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