To simplify the expression 7(6-2i) = 5(-3i+1), we will distribute the multiplication.
7(6-2i) = 5(-3i+1)
42 - 14i = -15i + 5
Next, let's group like terms.
-14i + 42 = -15i + 5
Now, we will isolate the terms with i on one side and the constant terms on the other side.
-14i + 15i = 5 - 42
-i = -37
To solve for i, we will divide both sides of the equation by -1.
i = 37
7(6-2i)=5(-3i+1)
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