75z+3=5z-2-3z

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Solution for 75z+3=5z-2-3z equation:


Simplifying
75z + 3 = 5z + -2 + -3z

Reorder the terms:
3 + 75z = 5z + -2 + -3z

Reorder the terms:
3 + 75z = -2 + 5z + -3z

Combine like terms: 5z + -3z = 2z
3 + 75z = -2 + 2z

Solving
3 + 75z = -2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
3 + 75z + -2z = -2 + 2z + -2z

Combine like terms: 75z + -2z = 73z
3 + 73z = -2 + 2z + -2z

Combine like terms: 2z + -2z = 0
3 + 73z = -2 + 0
3 + 73z = -2

Add '-3' to each side of the equation.
3 + -3 + 73z = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 73z = -2 + -3
73z = -2 + -3

Combine like terms: -2 + -3 = -5
73z = -5

Divide each side by '73'.
z = -0.06849315068

Simplifying
z = -0.06849315068

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