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Simplifying -2(n + 7) = -5 + 7n Reorder the terms: -2(7 + n) = -5 + 7n (7 * -2 + n * -2) = -5 + 7n (-14 + -2n) = -5 + 7n Solving -14 + -2n = -5 + 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. -14 + -2n + -7n = -5 + 7n + -7n Combine like terms: -2n + -7n = -9n -14 + -9n = -5 + 7n + -7n Combine like terms: 7n + -7n = 0 -14 + -9n = -5 + 0 -14 + -9n = -5 Add '14' to each side of the equation. -14 + 14 + -9n = -5 + 14 Combine like terms: -14 + 14 = 0 0 + -9n = -5 + 14 -9n = -5 + 14 Combine like terms: -5 + 14 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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