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Simplifying -2(n + 8) + 7 = -27 + 7n Reorder the terms: -2(8 + n) + 7 = -27 + 7n (8 * -2 + n * -2) + 7 = -27 + 7n (-16 + -2n) + 7 = -27 + 7n Reorder the terms: -16 + 7 + -2n = -27 + 7n Combine like terms: -16 + 7 = -9 -9 + -2n = -27 + 7n Solving -9 + -2n = -27 + 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. -9 + -2n + -7n = -27 + 7n + -7n Combine like terms: -2n + -7n = -9n -9 + -9n = -27 + 7n + -7n Combine like terms: 7n + -7n = 0 -9 + -9n = -27 + 0 -9 + -9n = -27 Add '9' to each side of the equation. -9 + 9 + -9n = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -9n = -27 + 9 -9n = -27 + 9 Combine like terms: -27 + 9 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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