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Simplifying -4n + -5(7 + -2n) = 2 + 2(8 + 3n) -4n + (7 * -5 + -2n * -5) = 2 + 2(8 + 3n) -4n + (-35 + 10n) = 2 + 2(8 + 3n) Reorder the terms: -35 + -4n + 10n = 2 + 2(8 + 3n) Combine like terms: -4n + 10n = 6n -35 + 6n = 2 + 2(8 + 3n) -35 + 6n = 2 + (8 * 2 + 3n * 2) -35 + 6n = 2 + (16 + 6n) Combine like terms: 2 + 16 = 18 -35 + 6n = 18 + 6n Add '-6n' to each side of the equation. -35 + 6n + -6n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 + 0 = 18 + 6n + -6n -35 = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 = 18 + 0 -35 = 18 Solving -35 = 18 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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