7z+5=3z+15

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Solution for 7z+5=3z+15 equation:


Simplifying
7z + 5 = 3z + 15

Reorder the terms:
5 + 7z = 3z + 15

Reorder the terms:
5 + 7z = 15 + 3z

Solving
5 + 7z = 15 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
5 + 7z + -3z = 15 + 3z + -3z

Combine like terms: 7z + -3z = 4z
5 + 4z = 15 + 3z + -3z

Combine like terms: 3z + -3z = 0
5 + 4z = 15 + 0
5 + 4z = 15

Add '-5' to each side of the equation.
5 + -5 + 4z = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 4z = 15 + -5
4z = 15 + -5

Combine like terms: 15 + -5 = 10
4z = 10

Divide each side by '4'.
z = 2.5

Simplifying
z = 2.5

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