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Simplifying 7n + -4(n + 1) = 5 + 3(n + 2) Reorder the terms: 7n + -4(1 + n) = 5 + 3(n + 2) 7n + (1 * -4 + n * -4) = 5 + 3(n + 2) 7n + (-4 + -4n) = 5 + 3(n + 2) Reorder the terms: -4 + 7n + -4n = 5 + 3(n + 2) Combine like terms: 7n + -4n = 3n -4 + 3n = 5 + 3(n + 2) Reorder the terms: -4 + 3n = 5 + 3(2 + n) -4 + 3n = 5 + (2 * 3 + n * 3) -4 + 3n = 5 + (6 + 3n) Combine like terms: 5 + 6 = 11 -4 + 3n = 11 + 3n Add '-3n' to each side of the equation. -4 + 3n + -3n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 + 0 = 11 + 3n + -3n -4 = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 = 11 + 0 -4 = 11 Solving -4 = 11 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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