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Simplifying 7(k + -4) + 10 = 3k + 20 + 4k + -2 Reorder the terms: 7(-4 + k) + 10 = 3k + 20 + 4k + -2 (-4 * 7 + k * 7) + 10 = 3k + 20 + 4k + -2 (-28 + 7k) + 10 = 3k + 20 + 4k + -2 Reorder the terms: -28 + 10 + 7k = 3k + 20 + 4k + -2 Combine like terms: -28 + 10 = -18 -18 + 7k = 3k + 20 + 4k + -2 Reorder the terms: -18 + 7k = 20 + -2 + 3k + 4k Combine like terms: 20 + -2 = 18 -18 + 7k = 18 + 3k + 4k Combine like terms: 3k + 4k = 7k -18 + 7k = 18 + 7k Add '-7k' to each side of the equation. -18 + 7k + -7k = 18 + 7k + -7k Combine like terms: 7k + -7k = 0 -18 + 0 = 18 + 7k + -7k -18 = 18 + 7k + -7k Combine like terms: 7k + -7k = 0 -18 = 18 + 0 -18 = 18 Solving -18 = 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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