11(2+4)-2(z-4)=4(z-2)+4(z-2)

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Solution for 11(2+4)-2(z-4)=4(z-2)+4(z-2) equation: 


Simplifying
11(2 + 4) + -2(z + -4) = 4(z + -2) + 4(z + -2)

Combine like terms: 2 + 4 = 6
11(6) + -2(z + -4) = 4(z + -2) + 4(z + -2)

Multiply 11 * 6
66 + -2(z + -4) = 4(z + -2) + 4(z + -2)

Reorder the terms:
66 + -2(-4 + z) = 4(z + -2) + 4(z + -2)
66 + (-4 * -2 + z * -2) = 4(z + -2) + 4(z + -2)
66 + (8 + -2z) = 4(z + -2) + 4(z + -2)

Combine like terms: 66 + 8 = 74
74 + -2z = 4(z + -2) + 4(z + -2)

Reorder the terms:
74 + -2z = 4(-2 + z) + 4(z + -2)
74 + -2z = (-2 * 4 + z * 4) + 4(z + -2)
74 + -2z = (-8 + 4z) + 4(z + -2)

Reorder the terms:
74 + -2z = -8 + 4z + 4(-2 + z)
74 + -2z = -8 + 4z + (-2 * 4 + z * 4)
74 + -2z = -8 + 4z + (-8 + 4z)

Reorder the terms:
74 + -2z = -8 + -8 + 4z + 4z

Combine like terms: -8 + -8 = -16
74 + -2z = -16 + 4z + 4z

Combine like terms: 4z + 4z = 8z
74 + -2z = -16 + 8z

Solving
74 + -2z = -16 + 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.
74 + -2z + -8z = -16 + 8z + -8z

Combine like terms: -2z + -8z = -10z
74 + -10z = -16 + 8z + -8z

Combine like terms: 8z + -8z = 0
74 + -10z = -16 + 0
74 + -10z = -16

Add '-74' to each side of the equation.
74 + -74 + -10z = -16 + -74

Combine like terms: 74 + -74 = 0
0 + -10z = -16 + -74
-10z = -16 + -74

Combine like terms: -16 + -74 = -90
-10z = -90

Divide each side by '-10'.
z = 9

Simplifying
z = 9

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