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