75z-150=80z-300

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Solution for 75z-150=80z-300 equation:


Simplifying
75z + -150 = 80z + -300

Reorder the terms:
-150 + 75z = 80z + -300

Reorder the terms:
-150 + 75z = -300 + 80z

Solving
-150 + 75z = -300 + 80z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-80z' to each side of the equation.
-150 + 75z + -80z = -300 + 80z + -80z

Combine like terms: 75z + -80z = -5z
-150 + -5z = -300 + 80z + -80z

Combine like terms: 80z + -80z = 0
-150 + -5z = -300 + 0
-150 + -5z = -300

Add '150' to each side of the equation.
-150 + 150 + -5z = -300 + 150

Combine like terms: -150 + 150 = 0
0 + -5z = -300 + 150
-5z = -300 + 150

Combine like terms: -300 + 150 = -150
-5z = -150

Divide each side by '-5'.
z = 30

Simplifying
z = 30

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