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Simplifying 19k + 6(5k + 24) = -10 + 7(7k + 22) Reorder the terms: 19k + 6(24 + 5k) = -10 + 7(7k + 22) 19k + (24 * 6 + 5k * 6) = -10 + 7(7k + 22) 19k + (144 + 30k) = -10 + 7(7k + 22) Reorder the terms: 144 + 19k + 30k = -10 + 7(7k + 22) Combine like terms: 19k + 30k = 49k 144 + 49k = -10 + 7(7k + 22) Reorder the terms: 144 + 49k = -10 + 7(22 + 7k) 144 + 49k = -10 + (22 * 7 + 7k * 7) 144 + 49k = -10 + (154 + 49k) Combine like terms: -10 + 154 = 144 144 + 49k = 144 + 49k Add '-144' to each side of the equation. 144 + -144 + 49k = 144 + -144 + 49k Combine like terms: 144 + -144 = 0 0 + 49k = 144 + -144 + 49k 49k = 144 + -144 + 49k Combine like terms: 144 + -144 = 0 49k = 0 + 49k 49k = 49k Add '-49k' to each side of the equation. 49k + -49k = 49k + -49k Combine like terms: 49k + -49k = 0 0 = 49k + -49k Combine like terms: 49k + -49k = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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