(3z-2)+6=5(z+4)

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Solution for (3z-2)+6=5(z+4) equation:


Simplifying
(3z + -2) + 6 = 5(z + 4)

Reorder the terms:
(-2 + 3z) + 6 = 5(z + 4)

Remove parenthesis around (-2 + 3z)
-2 + 3z + 6 = 5(z + 4)

Reorder the terms:
-2 + 6 + 3z = 5(z + 4)

Combine like terms: -2 + 6 = 4
4 + 3z = 5(z + 4)

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

Solving
4 + 3z = 20 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
4 + 3z + -5z = 20 + 5z + -5z

Combine like terms: 3z + -5z = -2z
4 + -2z = 20 + 5z + -5z

Combine like terms: 5z + -5z = 0
4 + -2z = 20 + 0
4 + -2z = 20

Add '-4' to each side of the equation.
4 + -4 + -2z = 20 + -4

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

Combine like terms: 20 + -4 = 16
-2z = 16

Divide each side by '-2'.
z = -8

Simplifying
z = -8

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