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