5z-2(z-7)=2+4z

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Solution for 5z-2(z-7)=2+4z equation:


Simplifying
5z + -2(z + -7) = 2 + 4z

Reorder the terms:
5z + -2(-7 + z) = 2 + 4z
5z + (-7 * -2 + z * -2) = 2 + 4z
5z + (14 + -2z) = 2 + 4z

Reorder the terms:
14 + 5z + -2z = 2 + 4z

Combine like terms: 5z + -2z = 3z
14 + 3z = 2 + 4z

Solving
14 + 3z = 2 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
14 + 3z + -4z = 2 + 4z + -4z

Combine like terms: 3z + -4z = -1z
14 + -1z = 2 + 4z + -4z

Combine like terms: 4z + -4z = 0
14 + -1z = 2 + 0
14 + -1z = 2

Add '-14' to each side of the equation.
14 + -14 + -1z = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -1z = 2 + -14
-1z = 2 + -14

Combine like terms: 2 + -14 = -12
-1z = -12

Divide each side by '-1'.
z = 12

Simplifying
z = 12

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