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Simplifying 2(k + -8) + -1(5 + 7k) = -5k Reorder the terms: 2(-8 + k) + -1(5 + 7k) = -5k (-8 * 2 + k * 2) + -1(5 + 7k) = -5k (-16 + 2k) + -1(5 + 7k) = -5k -16 + 2k + (5 * -1 + 7k * -1) = -5k -16 + 2k + (-5 + -7k) = -5k Reorder the terms: -16 + -5 + 2k + -7k = -5k Combine like terms: -16 + -5 = -21 -21 + 2k + -7k = -5k Combine like terms: 2k + -7k = -5k -21 + -5k = -5k Add '5k' to each side of the equation. -21 + -5k + 5k = -5k + 5k Combine like terms: -5k + 5k = 0 -21 + 0 = -5k + 5k -21 = -5k + 5k Combine like terms: -5k + 5k = 0 -21 = 0 Solving -21 = 0 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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