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Simplifying 3(n + -2) + -1(6 + -5n) = 7n Reorder the terms: 3(-2 + n) + -1(6 + -5n) = 7n (-2 * 3 + n * 3) + -1(6 + -5n) = 7n (-6 + 3n) + -1(6 + -5n) = 7n -6 + 3n + (6 * -1 + -5n * -1) = 7n -6 + 3n + (-6 + 5n) = 7n Reorder the terms: -6 + -6 + 3n + 5n = 7n Combine like terms: -6 + -6 = -12 -12 + 3n + 5n = 7n Combine like terms: 3n + 5n = 8n -12 + 8n = 7n Solving -12 + 8n = 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. -12 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -12 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -12 + 1n = 0 Add '12' to each side of the equation. -12 + 12 + 1n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 0 + 12 1n = 0 + 12 Combine like terms: 0 + 12 = 12 1n = 12 Divide each side by '1'. n = 12 Simplifying n = 12
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