2(z+4)=7z+2

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Solution for 2(z+4)=7z+2 equation: 


Simplifying
2(z + 4) = 7z + 2

Reorder the terms:
2(4 + z) = 7z + 2
(4 * 2 + z * 2) = 7z + 2
(8 + 2z) = 7z + 2

Reorder the terms:
8 + 2z = 2 + 7z

Solving
8 + 2z = 2 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
8 + 2z + -7z = 2 + 7z + -7z

Combine like terms: 2z + -7z = -5z
8 + -5z = 2 + 7z + -7z

Combine like terms: 7z + -7z = 0
8 + -5z = 2 + 0
8 + -5z = 2

Add '-8' to each side of the equation.
8 + -8 + -5z = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -5z = 2 + -8
-5z = 2 + -8

Combine like terms: 2 + -8 = -6
-5z = -6

Divide each side by '-5'.
z = 1.2

Simplifying
z = 1.2

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