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Simplifying 7n + -1(3n + 4) = -6(n + 6) + 6n Reorder the terms: 7n + -1(4 + 3n) = -6(n + 6) + 6n 7n + (4 * -1 + 3n * -1) = -6(n + 6) + 6n 7n + (-4 + -3n) = -6(n + 6) + 6n Reorder the terms: -4 + 7n + -3n = -6(n + 6) + 6n Combine like terms: 7n + -3n = 4n -4 + 4n = -6(n + 6) + 6n Reorder the terms: -4 + 4n = -6(6 + n) + 6n -4 + 4n = (6 * -6 + n * -6) + 6n -4 + 4n = (-36 + -6n) + 6n Combine like terms: -6n + 6n = 0 -4 + 4n = -36 + 0 -4 + 4n = -36 Solving -4 + 4n = -36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4n = -36 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = -36 + 4 4n = -36 + 4 Combine like terms: -36 + 4 = -32 4n = -32 Divide each side by '4'. n = -8 Simplifying n = -8
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