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Simplifying 3n + -4(2n + -1) = -7n + 12 Reorder the terms: 3n + -4(-1 + 2n) = -7n + 12 3n + (-1 * -4 + 2n * -4) = -7n + 12 3n + (4 + -8n) = -7n + 12 Reorder the terms: 4 + 3n + -8n = -7n + 12 Combine like terms: 3n + -8n = -5n 4 + -5n = -7n + 12 Reorder the terms: 4 + -5n = 12 + -7n Solving 4 + -5n = 12 + -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. 4 + -5n + 7n = 12 + -7n + 7n Combine like terms: -5n + 7n = 2n 4 + 2n = 12 + -7n + 7n Combine like terms: -7n + 7n = 0 4 + 2n = 12 + 0 4 + 2n = 12 Add '-4' to each side of the equation. 4 + -4 + 2n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 12 + -4 2n = 12 + -4 Combine like terms: 12 + -4 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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