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Simplifying 3n + 68 = 7 + -2(n + -2) Reorder the terms: 68 + 3n = 7 + -2(n + -2) Reorder the terms: 68 + 3n = 7 + -2(-2 + n) 68 + 3n = 7 + (-2 * -2 + n * -2) 68 + 3n = 7 + (4 + -2n) Combine like terms: 7 + 4 = 11 68 + 3n = 11 + -2n Solving 68 + 3n = 11 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 68 + 3n + 2n = 11 + -2n + 2n Combine like terms: 3n + 2n = 5n 68 + 5n = 11 + -2n + 2n Combine like terms: -2n + 2n = 0 68 + 5n = 11 + 0 68 + 5n = 11 Add '-68' to each side of the equation. 68 + -68 + 5n = 11 + -68 Combine like terms: 68 + -68 = 0 0 + 5n = 11 + -68 5n = 11 + -68 Combine like terms: 11 + -68 = -57 5n = -57 Divide each side by '5'. n = -11.4 Simplifying n = -11.4
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