4z+2(z-4)=3z+11

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Solution for 4z+2(z-4)=3z+11 equation:


Simplifying
4z + 2(z + -4) = 3z + 11

Reorder the terms:
4z + 2(-4 + z) = 3z + 11
4z + (-4 * 2 + z * 2) = 3z + 11
4z + (-8 + 2z) = 3z + 11

Reorder the terms:
-8 + 4z + 2z = 3z + 11

Combine like terms: 4z + 2z = 6z
-8 + 6z = 3z + 11

Reorder the terms:
-8 + 6z = 11 + 3z

Solving
-8 + 6z = 11 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-8 + 6z + -3z = 11 + 3z + -3z

Combine like terms: 6z + -3z = 3z
-8 + 3z = 11 + 3z + -3z

Combine like terms: 3z + -3z = 0
-8 + 3z = 11 + 0
-8 + 3z = 11

Add '8' to each side of the equation.
-8 + 8 + 3z = 11 + 8

Combine like terms: -8 + 8 = 0
0 + 3z = 11 + 8
3z = 11 + 8

Combine like terms: 11 + 8 = 19
3z = 19

Divide each side by '3'.
z = 6.333333333

Simplifying
z = 6.333333333

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