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Simplifying 5(2n + 4) = 2(20 + -1n) + 3(4n + -6) Reorder the terms: 5(4 + 2n) = 2(20 + -1n) + 3(4n + -6) (4 * 5 + 2n * 5) = 2(20 + -1n) + 3(4n + -6) (20 + 10n) = 2(20 + -1n) + 3(4n + -6) 20 + 10n = (20 * 2 + -1n * 2) + 3(4n + -6) 20 + 10n = (40 + -2n) + 3(4n + -6) Reorder the terms: 20 + 10n = 40 + -2n + 3(-6 + 4n) 20 + 10n = 40 + -2n + (-6 * 3 + 4n * 3) 20 + 10n = 40 + -2n + (-18 + 12n) Reorder the terms: 20 + 10n = 40 + -18 + -2n + 12n Combine like terms: 40 + -18 = 22 20 + 10n = 22 + -2n + 12n Combine like terms: -2n + 12n = 10n 20 + 10n = 22 + 10n Add '-10n' to each side of the equation. 20 + 10n + -10n = 22 + 10n + -10n Combine like terms: 10n + -10n = 0 20 + 0 = 22 + 10n + -10n 20 = 22 + 10n + -10n Combine like terms: 10n + -10n = 0 20 = 22 + 0 20 = 22 Solving 20 = 22 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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