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Simplifying 5(n + 2) + -12(n + 10) = -9n + 4 + 1 + 2n Reorder the terms: 5(2 + n) + -12(n + 10) = -9n + 4 + 1 + 2n (2 * 5 + n * 5) + -12(n + 10) = -9n + 4 + 1 + 2n (10 + 5n) + -12(n + 10) = -9n + 4 + 1 + 2n Reorder the terms: 10 + 5n + -12(10 + n) = -9n + 4 + 1 + 2n 10 + 5n + (10 * -12 + n * -12) = -9n + 4 + 1 + 2n 10 + 5n + (-120 + -12n) = -9n + 4 + 1 + 2n Reorder the terms: 10 + -120 + 5n + -12n = -9n + 4 + 1 + 2n Combine like terms: 10 + -120 = -110 -110 + 5n + -12n = -9n + 4 + 1 + 2n Combine like terms: 5n + -12n = -7n -110 + -7n = -9n + 4 + 1 + 2n Reorder the terms: -110 + -7n = 4 + 1 + -9n + 2n Combine like terms: 4 + 1 = 5 -110 + -7n = 5 + -9n + 2n Combine like terms: -9n + 2n = -7n -110 + -7n = 5 + -7n Add '7n' to each side of the equation. -110 + -7n + 7n = 5 + -7n + 7n Combine like terms: -7n + 7n = 0 -110 + 0 = 5 + -7n + 7n -110 = 5 + -7n + 7n Combine like terms: -7n + 7n = 0 -110 = 5 + 0 -110 = 5 Solving -110 = 5 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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