5z-2(z-8)=3(7-3z)+12

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Solution for 5z-2(z-8)=3(7-3z)+12 equation: 


Simplifying
5z + -2(z + -8) = 3(7 + -3z) + 12

Reorder the terms:
5z + -2(-8 + z) = 3(7 + -3z) + 12
5z + (-8 * -2 + z * -2) = 3(7 + -3z) + 12
5z + (16 + -2z) = 3(7 + -3z) + 12

Reorder the terms:
16 + 5z + -2z = 3(7 + -3z) + 12

Combine like terms: 5z + -2z = 3z
16 + 3z = 3(7 + -3z) + 12
16 + 3z = (7 * 3 + -3z * 3) + 12
16 + 3z = (21 + -9z) + 12

Reorder the terms:
16 + 3z = 21 + 12 + -9z

Combine like terms: 21 + 12 = 33
16 + 3z = 33 + -9z

Solving
16 + 3z = 33 + -9z

Solving for variable 'z'.

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

Add '9z' to each side of the equation.
16 + 3z + 9z = 33 + -9z + 9z

Combine like terms: 3z + 9z = 12z
16 + 12z = 33 + -9z + 9z

Combine like terms: -9z + 9z = 0
16 + 12z = 33 + 0
16 + 12z = 33

Add '-16' to each side of the equation.
16 + -16 + 12z = 33 + -16

Combine like terms: 16 + -16 = 0
0 + 12z = 33 + -16
12z = 33 + -16

Combine like terms: 33 + -16 = 17
12z = 17

Divide each side by '12'.
z = 1.416666667

Simplifying
z = 1.416666667

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