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Simplifying 8(n + 3) + -1(7 + 9n) = -2n Reorder the terms: 8(3 + n) + -1(7 + 9n) = -2n (3 * 8 + n * 8) + -1(7 + 9n) = -2n (24 + 8n) + -1(7 + 9n) = -2n 24 + 8n + (7 * -1 + 9n * -1) = -2n 24 + 8n + (-7 + -9n) = -2n Reorder the terms: 24 + -7 + 8n + -9n = -2n Combine like terms: 24 + -7 = 17 17 + 8n + -9n = -2n Combine like terms: 8n + -9n = -1n 17 + -1n = -2n Solving 17 + -1n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 17 + -1n + 2n = -2n + 2n Combine like terms: -1n + 2n = 1n 17 + 1n = -2n + 2n Combine like terms: -2n + 2n = 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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