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

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


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

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

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

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

Combine like terms: -12 + 12 = 0
0 + 3z = -12 + 12 + -2z
3z = -12 + 12 + -2z

Combine like terms: -12 + 12 = 0
3z = 0 + -2z
3z = -2z

Solving
3z = -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.
3z + 2z = -2z + 2z

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

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

Divide each side by '5'.
z = 0

Simplifying
z = 0

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