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Simplifying 11n + 15 = 14(n + 11) + -3(n + -7) Reorder the terms: 15 + 11n = 14(n + 11) + -3(n + -7) Reorder the terms: 15 + 11n = 14(11 + n) + -3(n + -7) 15 + 11n = (11 * 14 + n * 14) + -3(n + -7) 15 + 11n = (154 + 14n) + -3(n + -7) Reorder the terms: 15 + 11n = 154 + 14n + -3(-7 + n) 15 + 11n = 154 + 14n + (-7 * -3 + n * -3) 15 + 11n = 154 + 14n + (21 + -3n) Reorder the terms: 15 + 11n = 154 + 21 + 14n + -3n Combine like terms: 154 + 21 = 175 15 + 11n = 175 + 14n + -3n Combine like terms: 14n + -3n = 11n 15 + 11n = 175 + 11n Add '-11n' to each side of the equation. 15 + 11n + -11n = 175 + 11n + -11n Combine like terms: 11n + -11n = 0 15 + 0 = 175 + 11n + -11n 15 = 175 + 11n + -11n Combine like terms: 11n + -11n = 0 15 = 175 + 0 15 = 175 Solving 15 = 175 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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