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Simplifying -7(n + 2) + 16 = -5n + -8 Reorder the terms: -7(2 + n) + 16 = -5n + -8 (2 * -7 + n * -7) + 16 = -5n + -8 (-14 + -7n) + 16 = -5n + -8 Reorder the terms: -14 + 16 + -7n = -5n + -8 Combine like terms: -14 + 16 = 2 2 + -7n = -5n + -8 Reorder the terms: 2 + -7n = -8 + -5n Solving 2 + -7n = -8 + -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. 2 + -7n + 5n = -8 + -5n + 5n Combine like terms: -7n + 5n = -2n 2 + -2n = -8 + -5n + 5n Combine like terms: -5n + 5n = 0 2 + -2n = -8 + 0 2 + -2n = -8 Add '-2' to each side of the equation. 2 + -2 + -2n = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = -8 + -2 -2n = -8 + -2 Combine like terms: -8 + -2 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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