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Simplifying -5(n + 5) = -7(n + -1) Reorder the terms: -5(5 + n) = -7(n + -1) (5 * -5 + n * -5) = -7(n + -1) (-25 + -5n) = -7(n + -1) Reorder the terms: -25 + -5n = -7(-1 + n) -25 + -5n = (-1 * -7 + n * -7) -25 + -5n = (7 + -7n) Solving -25 + -5n = 7 + -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. -25 + -5n + 7n = 7 + -7n + 7n Combine like terms: -5n + 7n = 2n -25 + 2n = 7 + -7n + 7n Combine like terms: -7n + 7n = 0 -25 + 2n = 7 + 0 -25 + 2n = 7 Add '25' to each side of the equation. -25 + 25 + 2n = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 2n = 7 + 25 2n = 7 + 25 Combine like terms: 7 + 25 = 32 2n = 32 Divide each side by '2'. n = 16 Simplifying n = 16
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