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I am assuming that the original equation is 33z-4-20=z-5. Subtract z from both sides. Add 4 to both sides, as well as add 20 to both sides. Divide both sides by 32.
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The direction of the inequality remains unchanged. The direction changes when you divide or multiply both sides by a negative number. It also changes if both sides are raised to a negative exponent.
You try to bring all instances of the variable to one side. Here is an example:5x + 5 = 3x - 2 Subtracting 3x on both sides: 2x + 5 = -2 Subtracting 5 on both sides: 2x = -7
In an equation, the left side has the same value as the right side. The importance of doing the same thing to both sides is to keep the value of both sides the same so the equation does not change.