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Simplifying -6(n + -2) + -1 = -1(4 + 7n) Reorder the terms: -6(-2 + n) + -1 = -1(4 + 7n) (-2 * -6 + n * -6) + -1 = -1(4 + 7n) (12 + -6n) + -1 = -1(4 + 7n) Reorder the terms: 12 + -1 + -6n = -1(4 + 7n) Combine like terms: 12 + -1 = 11 11 + -6n = -1(4 + 7n) 11 + -6n = (4 * -1 + 7n * -1) 11 + -6n = (-4 + -7n) Solving 11 + -6n = -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. 11 + -6n + 7n = -4 + -7n + 7n Combine like terms: -6n + 7n = 1n 11 + 1n = -4 + -7n + 7n Combine like terms: -7n + 7n = 0 11 + 1n = -4 + 0 11 + 1n = -4 Add '-11' to each side of the equation. 11 + -11 + 1n = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 1n = -4 + -11 1n = -4 + -11 Combine like terms: -4 + -11 = -15 1n = -15 Divide each side by '1'. n = -15 Simplifying n = -15
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