7z-3(z+8)=10

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Solution for 7z-3(z+8)=10 equation: 


Simplifying
7z + -3(z + 8) = 10

Reorder the terms:
7z + -3(8 + z) = 10
7z + (8 * -3 + z * -3) = 10
7z + (-24 + -3z) = 10

Reorder the terms:
-24 + 7z + -3z = 10

Combine like terms: 7z + -3z = 4z
-24 + 4z = 10

Solving
-24 + 4z = 10

Solving for variable 'z'.

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

Add '24' to each side of the equation.
-24 + 24 + 4z = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 4z = 10 + 24
4z = 10 + 24

Combine like terms: 10 + 24 = 34
4z = 34

Divide each side by '4'.
z = 8.5

Simplifying
z = 8.5

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