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Simplifying -1 + 5(-6k + 5) = 5k + -5(7k + 8) Reorder the terms: -1 + 5(5 + -6k) = 5k + -5(7k + 8) -1 + (5 * 5 + -6k * 5) = 5k + -5(7k + 8) -1 + (25 + -30k) = 5k + -5(7k + 8) Combine like terms: -1 + 25 = 24 24 + -30k = 5k + -5(7k + 8) Reorder the terms: 24 + -30k = 5k + -5(8 + 7k) 24 + -30k = 5k + (8 * -5 + 7k * -5) 24 + -30k = 5k + (-40 + -35k) Reorder the terms: 24 + -30k = -40 + 5k + -35k Combine like terms: 5k + -35k = -30k 24 + -30k = -40 + -30k Add '30k' to each side of the equation. 24 + -30k + 30k = -40 + -30k + 30k Combine like terms: -30k + 30k = 0 24 + 0 = -40 + -30k + 30k 24 = -40 + -30k + 30k Combine like terms: -30k + 30k = 0 24 = -40 + 0 24 = -40 Solving 24 = -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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