6z-3=4(z+5)

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Solution for 6z-3=4(z+5) equation:


Simplifying
6z + -3 = 4(z + 5)

Reorder the terms:
-3 + 6z = 4(z + 5)

Reorder the terms:
-3 + 6z = 4(5 + z)
-3 + 6z = (5 * 4 + z * 4)
-3 + 6z = (20 + 4z)

Solving
-3 + 6z = 20 + 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.
-3 + 6z + -4z = 20 + 4z + -4z

Combine like terms: 6z + -4z = 2z
-3 + 2z = 20 + 4z + -4z

Combine like terms: 4z + -4z = 0
-3 + 2z = 20 + 0
-3 + 2z = 20

Add '3' to each side of the equation.
-3 + 3 + 2z = 20 + 3

Combine like terms: -3 + 3 = 0
0 + 2z = 20 + 3
2z = 20 + 3

Combine like terms: 20 + 3 = 23
2z = 23

Divide each side by '2'.
z = 11.5

Simplifying
z = 11.5

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