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