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Simplifying 2(1 + -1n) + -7n = -1(7 + 8n) + -4 (1 * 2 + -1n * 2) + -7n = -1(7 + 8n) + -4 (2 + -2n) + -7n = -1(7 + 8n) + -4 Combine like terms: -2n + -7n = -9n 2 + -9n = -1(7 + 8n) + -4 2 + -9n = (7 * -1 + 8n * -1) + -4 2 + -9n = (-7 + -8n) + -4 Reorder the terms: 2 + -9n = -7 + -4 + -8n Combine like terms: -7 + -4 = -11 2 + -9n = -11 + -8n Solving 2 + -9n = -11 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 2 + -9n + 8n = -11 + -8n + 8n Combine like terms: -9n + 8n = -1n 2 + -1n = -11 + -8n + 8n Combine like terms: -8n + 8n = 0 2 + -1n = -11 + 0 2 + -1n = -11 Add '-2' to each side of the equation. 2 + -2 + -1n = -11 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = -11 + -2 -1n = -11 + -2 Combine like terms: -11 + -2 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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