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Simplifying -6(1 + -2n) + 4 = 3 + 7n (1 * -6 + -2n * -6) + 4 = 3 + 7n (-6 + 12n) + 4 = 3 + 7n Reorder the terms: -6 + 4 + 12n = 3 + 7n Combine like terms: -6 + 4 = -2 -2 + 12n = 3 + 7n Solving -2 + 12n = 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. -2 + 12n + -7n = 3 + 7n + -7n Combine like terms: 12n + -7n = 5n -2 + 5n = 3 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 5n = 3 + 0 -2 + 5n = 3 Add '2' to each side of the equation. -2 + 2 + 5n = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 3 + 2 5n = 3 + 2 Combine like terms: 3 + 2 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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