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Simplifying 9n + 68 = 7n + -2(n + 2) Reorder the terms: 68 + 9n = 7n + -2(n + 2) Reorder the terms: 68 + 9n = 7n + -2(2 + n) 68 + 9n = 7n + (2 * -2 + n * -2) 68 + 9n = 7n + (-4 + -2n) Reorder the terms: 68 + 9n = -4 + 7n + -2n Combine like terms: 7n + -2n = 5n 68 + 9n = -4 + 5n Solving 68 + 9n = -4 + 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. 68 + 9n + -5n = -4 + 5n + -5n Combine like terms: 9n + -5n = 4n 68 + 4n = -4 + 5n + -5n Combine like terms: 5n + -5n = 0 68 + 4n = -4 + 0 68 + 4n = -4 Add '-68' to each side of the equation. 68 + -68 + 4n = -4 + -68 Combine like terms: 68 + -68 = 0 0 + 4n = -4 + -68 4n = -4 + -68 Combine like terms: -4 + -68 = -72 4n = -72 Divide each side by '4'. n = -18 Simplifying n = -18
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