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Simplifying 4n + 2n = 2(6n + -6) + -1(7n + 3) Combine like terms: 4n + 2n = 6n 6n = 2(6n + -6) + -1(7n + 3) Reorder the terms: 6n = 2(-6 + 6n) + -1(7n + 3) 6n = (-6 * 2 + 6n * 2) + -1(7n + 3) 6n = (-12 + 12n) + -1(7n + 3) Reorder the terms: 6n = -12 + 12n + -1(3 + 7n) 6n = -12 + 12n + (3 * -1 + 7n * -1) 6n = -12 + 12n + (-3 + -7n) Reorder the terms: 6n = -12 + -3 + 12n + -7n Combine like terms: -12 + -3 = -15 6n = -15 + 12n + -7n Combine like terms: 12n + -7n = 5n 6n = -15 + 5n Solving 6n = -15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 6n + -5n = -15 + 5n + -5n Combine like terms: 6n + -5n = 1n 1n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 1n = -15 + 0 1n = -15 Divide each side by '1'. n = -15 Simplifying n = -15
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