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Simplifying 8(n + -2) + -1(6 + -3n) = 7n Reorder the terms: 8(-2 + n) + -1(6 + -3n) = 7n (-2 * 8 + n * 8) + -1(6 + -3n) = 7n (-16 + 8n) + -1(6 + -3n) = 7n -16 + 8n + (6 * -1 + -3n * -1) = 7n -16 + 8n + (-6 + 3n) = 7n Reorder the terms: -16 + -6 + 8n + 3n = 7n Combine like terms: -16 + -6 = -22 -22 + 8n + 3n = 7n Combine like terms: 8n + 3n = 11n -22 + 11n = 7n Solving -22 + 11n = 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. -22 + 11n + -7n = 7n + -7n Combine like terms: 11n + -7n = 4n -22 + 4n = 7n + -7n Combine like terms: 7n + -7n = 0 -22 + 4n = 0 Add '22' to each side of the equation. -22 + 22 + 4n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 4n = 0 + 22 4n = 0 + 22 Combine like terms: 0 + 22 = 22 4n = 22 Divide each side by '4'. n = 5.5 Simplifying n = 5.5
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