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

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


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

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

Reorder the terms:
12 + 4z = 3(3 + 2z)
12 + 4z = (3 * 3 + 2z * 3)
12 + 4z = (9 + 6z)

Solving
12 + 4z = 9 + 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 + 4z + -6z = 9 + 6z + -6z

Combine like terms: 4z + -6z = -2z
12 + -2z = 9 + 6z + -6z

Combine like terms: 6z + -6z = 0
12 + -2z = 9 + 0
12 + -2z = 9

Add '-12' to each side of the equation.
12 + -12 + -2z = 9 + -12

Combine like terms: 12 + -12 = 0
0 + -2z = 9 + -12
-2z = 9 + -12

Combine like terms: 9 + -12 = -3
-2z = -3

Divide each side by '-2'.
z = 1.5

Simplifying
z = 1.5

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