2z+14=2(4z-2)

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Solution for 2z+14=2(4z-2) equation:


Simplifying
2z + 14 = 2(4z + -2)

Reorder the terms:
14 + 2z = 2(4z + -2)

Reorder the terms:
14 + 2z = 2(-2 + 4z)
14 + 2z = (-2 * 2 + 4z * 2)
14 + 2z = (-4 + 8z)

Solving
14 + 2z = -4 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
14 + 2z + -8z = -4 + 8z + -8z

Combine like terms: 2z + -8z = -6z
14 + -6z = -4 + 8z + -8z

Combine like terms: 8z + -8z = 0
14 + -6z = -4 + 0
14 + -6z = -4

Add '-14' to each side of the equation.
14 + -14 + -6z = -4 + -14

Combine like terms: 14 + -14 = 0
0 + -6z = -4 + -14
-6z = -4 + -14

Combine like terms: -4 + -14 = -18
-6z = -18

Divide each side by '-6'.
z = 3

Simplifying
z = 3

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