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Simplifying n + -25 + 10n + 12 = 6(3n + -5) + -7n Reorder the terms: -25 + 12 + n + 10n = 6(3n + -5) + -7n Combine like terms: -25 + 12 = -13 -13 + n + 10n = 6(3n + -5) + -7n Combine like terms: n + 10n = 11n -13 + 11n = 6(3n + -5) + -7n Reorder the terms: -13 + 11n = 6(-5 + 3n) + -7n -13 + 11n = (-5 * 6 + 3n * 6) + -7n -13 + 11n = (-30 + 18n) + -7n Combine like terms: 18n + -7n = 11n -13 + 11n = -30 + 11n Add '-11n' to each side of the equation. -13 + 11n + -11n = -30 + 11n + -11n Combine like terms: 11n + -11n = 0 -13 + 0 = -30 + 11n + -11n -13 = -30 + 11n + -11n Combine like terms: 11n + -11n = 0 -13 = -30 + 0 -13 = -30 Solving -13 = -30 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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