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

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


Simplifying
6(2 + 3z) = (4 + 6z)
(2 * 6 + 3z * 6) = (4 + 6z)
(12 + 18z) = (4 + 6z)

Remove parenthesis around (4 + 6z)
12 + 18z = 4 + 6z

Solving
12 + 18z = 4 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
12 + 18z + -6z = 4 + 6z + -6z

Combine like terms: 18z + -6z = 12z
12 + 12z = 4 + 6z + -6z

Combine like terms: 6z + -6z = 0
12 + 12z = 4 + 0
12 + 12z = 4

Add '-12' to each side of the equation.
12 + -12 + 12z = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 12z = 4 + -12
12z = 4 + -12

Combine like terms: 4 + -12 = -8
12z = -8

Divide each side by '12'.
z = -0.6666666667

Simplifying
z = -0.6666666667

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