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Simplifying 7 + n(n + 5) = (n * n) + -1(7 + -5n) Reorder the terms: 7 + n(5 + n) = (n * n) + -1(7 + -5n) 7 + (5 * n + n * n) = (n * n) + -1(7 + -5n) 7 + (5n + n2) = (n * n) + -1(7 + -5n) Multiply n * n 7 + 5n + n2 = (n2) + -1(7 + -5n) 7 + 5n + n2 = n2 + -1(7 + -5n) 7 + 5n + n2 = n2 + (7 * -1 + -5n * -1) 7 + 5n + n2 = n2 + (-7 + 5n) Reorder the terms: 7 + 5n + n2 = -7 + 5n + n2 Add '-5n' to each side of the equation. 7 + 5n + -5n + n2 = -7 + 5n + -5n + n2 Combine like terms: 5n + -5n = 0 7 + 0 + n2 = -7 + 5n + -5n + n2 7 + n2 = -7 + 5n + -5n + n2 Combine like terms: 5n + -5n = 0 7 + n2 = -7 + 0 + n2 7 + n2 = -7 + n2 Add '-1n2' to each side of the equation. 7 + n2 + -1n2 = -7 + n2 + -1n2 Combine like terms: n2 + -1n2 = 0 7 + 0 = -7 + n2 + -1n2 7 = -7 + n2 + -1n2 Combine like terms: n2 + -1n2 = 0 7 = -7 + 0 7 = -7 Solving 7 = -7 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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