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Simplifying -1 + 7n = -5(n + 5) Reorder the terms: -1 + 7n = -5(5 + n) -1 + 7n = (5 * -5 + n * -5) -1 + 7n = (-25 + -5n) Solving -1 + 7n = -25 + -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. -1 + 7n + 5n = -25 + -5n + 5n Combine like terms: 7n + 5n = 12n -1 + 12n = -25 + -5n + 5n Combine like terms: -5n + 5n = 0 -1 + 12n = -25 + 0 -1 + 12n = -25 Add '1' to each side of the equation. -1 + 1 + 12n = -25 + 1 Combine like terms: -1 + 1 = 0 0 + 12n = -25 + 1 12n = -25 + 1 Combine like terms: -25 + 1 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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