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Simplifying -2(n + 5) = -15 + -7n Reorder the terms: -2(5 + n) = -15 + -7n (5 * -2 + n * -2) = -15 + -7n (-10 + -2n) = -15 + -7n Solving -10 + -2n = -15 + -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. -10 + -2n + 7n = -15 + -7n + 7n Combine like terms: -2n + 7n = 5n -10 + 5n = -15 + -7n + 7n Combine like terms: -7n + 7n = 0 -10 + 5n = -15 + 0 -10 + 5n = -15 Add '10' to each side of the equation. -10 + 10 + 5n = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = -15 + 10 5n = -15 + 10 Combine like terms: -15 + 10 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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