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Simplifying 8(2 + -1n) + -1 = n + 3(-5n + -1) + 7n (2 * 8 + -1n * 8) + -1 = n + 3(-5n + -1) + 7n (16 + -8n) + -1 = n + 3(-5n + -1) + 7n Reorder the terms: 16 + -1 + -8n = n + 3(-5n + -1) + 7n Combine like terms: 16 + -1 = 15 15 + -8n = n + 3(-5n + -1) + 7n Reorder the terms: 15 + -8n = n + 3(-1 + -5n) + 7n 15 + -8n = n + (-1 * 3 + -5n * 3) + 7n 15 + -8n = n + (-3 + -15n) + 7n Reorder the terms: 15 + -8n = -3 + n + -15n + 7n Combine like terms: n + -15n = -14n 15 + -8n = -3 + -14n + 7n Combine like terms: -14n + 7n = -7n 15 + -8n = -3 + -7n Solving 15 + -8n = -3 + -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. 15 + -8n + 7n = -3 + -7n + 7n Combine like terms: -8n + 7n = -1n 15 + -1n = -3 + -7n + 7n Combine like terms: -7n + 7n = 0 15 + -1n = -3 + 0 15 + -1n = -3 Add '-15' to each side of the equation. 15 + -15 + -1n = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = -3 + -15 -1n = -3 + -15 Combine like terms: -3 + -15 = -18 -1n = -18 Divide each side by '-1'. n = 18 Simplifying n = 18
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