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Simplifying 3n + 68 = 7 + -7(n + -2) Reorder the terms: 68 + 3n = 7 + -7(n + -2) Reorder the terms: 68 + 3n = 7 + -7(-2 + n) 68 + 3n = 7 + (-2 * -7 + n * -7) 68 + 3n = 7 + (14 + -7n) Combine like terms: 7 + 14 = 21 68 + 3n = 21 + -7n Solving 68 + 3n = 21 + -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. 68 + 3n + 7n = 21 + -7n + 7n Combine like terms: 3n + 7n = 10n 68 + 10n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 68 + 10n = 21 + 0 68 + 10n = 21 Add '-68' to each side of the equation. 68 + -68 + 10n = 21 + -68 Combine like terms: 68 + -68 = 0 0 + 10n = 21 + -68 10n = 21 + -68 Combine like terms: 21 + -68 = -47 10n = -47 Divide each side by '10'. n = -4.7 Simplifying n = -4.7
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