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Simplifying 5(2n + 4) + -3(4n + -6) = 2(20 + -1n) Reorder the terms: 5(4 + 2n) + -3(4n + -6) = 2(20 + -1n) (4 * 5 + 2n * 5) + -3(4n + -6) = 2(20 + -1n) (20 + 10n) + -3(4n + -6) = 2(20 + -1n) Reorder the terms: 20 + 10n + -3(-6 + 4n) = 2(20 + -1n) 20 + 10n + (-6 * -3 + 4n * -3) = 2(20 + -1n) 20 + 10n + (18 + -12n) = 2(20 + -1n) Reorder the terms: 20 + 18 + 10n + -12n = 2(20 + -1n) Combine like terms: 20 + 18 = 38 38 + 10n + -12n = 2(20 + -1n) Combine like terms: 10n + -12n = -2n 38 + -2n = 2(20 + -1n) 38 + -2n = (20 * 2 + -1n * 2) 38 + -2n = (40 + -2n) Add '2n' to each side of the equation. 38 + -2n + 2n = 40 + -2n + 2n Combine like terms: -2n + 2n = 0 38 + 0 = 40 + -2n + 2n 38 = 40 + -2n + 2n Combine like terms: -2n + 2n = 0 38 = 40 + 0 38 = 40 Solving 38 = 40 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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