Consider the following statement. For every integer m, 7m + 4 is not divisible by 7. Construct a proof for the statement by selecting sentences from the following scrambled list and putting them in the correct order. Suppose that there is an integer m such that 7m + 4 is divisible by 7.Subtracting 4m from both sides of the equation gives 7 = 4k − 4m = 4(k − m).By definition of divisibility 4m + 7 = 4k, for some integer k. By definition of divisibility 7m + 4 = 7k for some integer k. Dividing both sides of the equation by 7 results in 4 7 = k − m. Dividing both sides of the equation by 4 results in 7 4 = k − m. But k − m is an integer and 7 4 is not an integer. Suppose that there is an integer m such that 7m + 4 is not divisible by 7.But k − m is an integer and 4 7 is not an integer. Subtracting 7m from both sides of the equation gives 4 = 7k − 7m = 7(k − m).