2(z-6)=-4(z-9)

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Solution for 2(z-6)=-4(z-9) equation:


Simplifying
2(z + -6) = -4(z + -9)

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

Reorder the terms:
-12 + 2z = -4(-9 + z)
-12 + 2z = (-9 * -4 + z * -4)
-12 + 2z = (36 + -4z)

Solving
-12 + 2z = 36 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-12 + 2z + 4z = 36 + -4z + 4z

Combine like terms: 2z + 4z = 6z
-12 + 6z = 36 + -4z + 4z

Combine like terms: -4z + 4z = 0
-12 + 6z = 36 + 0
-12 + 6z = 36

Add '12' to each side of the equation.
-12 + 12 + 6z = 36 + 12

Combine like terms: -12 + 12 = 0
0 + 6z = 36 + 12
6z = 36 + 12

Combine like terms: 36 + 12 = 48
6z = 48

Divide each side by '6'.
z = 8

Simplifying
z = 8

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