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Simplifying -6 + -7(n + 7) = -1(9n + 6) + 1 Reorder the terms: -6 + -7(7 + n) = -1(9n + 6) + 1 -6 + (7 * -7 + n * -7) = -1(9n + 6) + 1 -6 + (-49 + -7n) = -1(9n + 6) + 1 Combine like terms: -6 + -49 = -55 -55 + -7n = -1(9n + 6) + 1 Reorder the terms: -55 + -7n = -1(6 + 9n) + 1 -55 + -7n = (6 * -1 + 9n * -1) + 1 -55 + -7n = (-6 + -9n) + 1 Reorder the terms: -55 + -7n = -6 + 1 + -9n Combine like terms: -6 + 1 = -5 -55 + -7n = -5 + -9n Solving -55 + -7n = -5 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -55 + -7n + 9n = -5 + -9n + 9n Combine like terms: -7n + 9n = 2n -55 + 2n = -5 + -9n + 9n Combine like terms: -9n + 9n = 0 -55 + 2n = -5 + 0 -55 + 2n = -5 Add '55' to each side of the equation. -55 + 55 + 2n = -5 + 55 Combine like terms: -55 + 55 = 0 0 + 2n = -5 + 55 2n = -5 + 55 Combine like terms: -5 + 55 = 50 2n = 50 Divide each side by '2'. n = 25 Simplifying n = 25
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