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Simplifying 7(n + 2) + -19 = 8(2n + -4) + -9n + 7 Reorder the terms: 7(2 + n) + -19 = 8(2n + -4) + -9n + 7 (2 * 7 + n * 7) + -19 = 8(2n + -4) + -9n + 7 (14 + 7n) + -19 = 8(2n + -4) + -9n + 7 Reorder the terms: 14 + -19 + 7n = 8(2n + -4) + -9n + 7 Combine like terms: 14 + -19 = -5 -5 + 7n = 8(2n + -4) + -9n + 7 Reorder the terms: -5 + 7n = 8(-4 + 2n) + -9n + 7 -5 + 7n = (-4 * 8 + 2n * 8) + -9n + 7 -5 + 7n = (-32 + 16n) + -9n + 7 Reorder the terms: -5 + 7n = -32 + 7 + 16n + -9n Combine like terms: -32 + 7 = -25 -5 + 7n = -25 + 16n + -9n Combine like terms: 16n + -9n = 7n -5 + 7n = -25 + 7n Add '-7n' to each side of the equation. -5 + 7n + -7n = -25 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + 0 = -25 + 7n + -7n -5 = -25 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 = -25 + 0 -5 = -25 Solving -5 = -25 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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