3(z-4)=2z-6

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


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

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

Reorder the terms:
-12 + 3z = -6 + 2z

Solving
-12 + 3z = -6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-12 + 3z + -2z = -6 + 2z + -2z

Combine like terms: 3z + -2z = 1z
-12 + 1z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0
-12 + 1z = -6 + 0
-12 + 1z = -6

Add '12' to each side of the equation.
-12 + 12 + 1z = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 1z = -6 + 12
1z = -6 + 12

Combine like terms: -6 + 12 = 6
1z = 6

Divide each side by '1'.
z = 6

Simplifying
z = 6

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