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Simplifying 2(1 + -1n) = -1(8n + -3) + 7n (1 * 2 + -1n * 2) = -1(8n + -3) + 7n (2 + -2n) = -1(8n + -3) + 7n Reorder the terms: 2 + -2n = -1(-3 + 8n) + 7n 2 + -2n = (-3 * -1 + 8n * -1) + 7n 2 + -2n = (3 + -8n) + 7n Combine like terms: -8n + 7n = -1n 2 + -2n = 3 + -1n Solving 2 + -2n = 3 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 2 + -2n + n = 3 + -1n + n Combine like terms: -2n + n = -1n 2 + -1n = 3 + -1n + n Combine like terms: -1n + n = 0 2 + -1n = 3 + 0 2 + -1n = 3 Add '-2' to each side of the equation. 2 + -2 + -1n = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 3 + -2 -1n = 3 + -2 Combine like terms: 3 + -2 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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