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

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


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

Reorder the terms:
3(6 + 4z) = 4(2z + 5)
(6 * 3 + 4z * 3) = 4(2z + 5)
(18 + 12z) = 4(2z + 5)

Reorder the terms:
18 + 12z = 4(5 + 2z)
18 + 12z = (5 * 4 + 2z * 4)
18 + 12z = (20 + 8z)

Solving
18 + 12z = 20 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
18 + 12z + -8z = 20 + 8z + -8z

Combine like terms: 12z + -8z = 4z
18 + 4z = 20 + 8z + -8z

Combine like terms: 8z + -8z = 0
18 + 4z = 20 + 0
18 + 4z = 20

Add '-18' to each side of the equation.
18 + -18 + 4z = 20 + -18

Combine like terms: 18 + -18 = 0
0 + 4z = 20 + -18
4z = 20 + -18

Combine like terms: 20 + -18 = 2
4z = 2

Divide each side by '4'.
z = 0.5

Simplifying
z = 0.5

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