To solve this equation, we need to simplify both sides of the equation step by step:
Given: (5a - 3b) - (4 + 5a - 3b) = -4
First, distribute the negative sign through the terms in the second set of parentheses: (5a - 3b) - 4 - 5a + 3b = -4
Now, combine like terms: 5a - 5a - 3b + 3b - 4 = -4
Actually, when you combine like terms on the left side of the equation (5a with -5a and -3b with +3b), they cancel each other out: 0a + 0b - 4 = -4 -4 = -4
This simplifies to -4 = -4, which is a true statement. This means that the values of 'a' and 'b' can be any real numbers, as the original equation represents an identity, which is true for all values of 'a' and 'b'. In other words, the equation does not provide a specific solution for 'a' or 'b' but instead confirms that the left side of the equation is always equal to the right side for any 'a' and 'b'.
