2(z-3)2=8

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Solution for 2(z-3)2=8 equation:


Simplifying
2(z + -3) * 2 = 8

Reorder the terms:
2(-3 + z) * 2 = 8

Reorder the terms for easier multiplication:
2 * 2(-3 + z) = 8

Multiply 2 * 2
4(-3 + z) = 8
(-3 * 4 + z * 4) = 8
(-12 + 4z) = 8

Solving
-12 + 4z = 8

Solving for variable 'z'.

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

Add '12' to each side of the equation.
-12 + 12 + 4z = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 4z = 8 + 12
4z = 8 + 12

Combine like terms: 8 + 12 = 20
4z = 20

Divide each side by '4'.
z = 5

Simplifying
z = 5

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