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Simplifying -9 + 4n = 7(n + -5) + -3(n + 2) Reorder the terms: -9 + 4n = 7(-5 + n) + -3(n + 2) -9 + 4n = (-5 * 7 + n * 7) + -3(n + 2) -9 + 4n = (-35 + 7n) + -3(n + 2) Reorder the terms: -9 + 4n = -35 + 7n + -3(2 + n) -9 + 4n = -35 + 7n + (2 * -3 + n * -3) -9 + 4n = -35 + 7n + (-6 + -3n) Reorder the terms: -9 + 4n = -35 + -6 + 7n + -3n Combine like terms: -35 + -6 = -41 -9 + 4n = -41 + 7n + -3n Combine like terms: 7n + -3n = 4n -9 + 4n = -41 + 4n Add '-4n' to each side of the equation. -9 + 4n + -4n = -41 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 0 = -41 + 4n + -4n -9 = -41 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 = -41 + 0 -9 = -41 Solving -9 = -41 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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