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Simplifying -6(-1n + 1) + 3n = 4 + 7n Reorder the terms: -6(1 + -1n) + 3n = 4 + 7n (1 * -6 + -1n * -6) + 3n = 4 + 7n (-6 + 6n) + 3n = 4 + 7n Combine like terms: 6n + 3n = 9n -6 + 9n = 4 + 7n Solving -6 + 9n = 4 + 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. -6 + 9n + -7n = 4 + 7n + -7n Combine like terms: 9n + -7n = 2n -6 + 2n = 4 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + 2n = 4 + 0 -6 + 2n = 4 Add '6' to each side of the equation. -6 + 6 + 2n = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 4 + 6 2n = 4 + 6 Combine like terms: 4 + 6 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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