5z-8-(3z)=6z-5-12

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Solution for 5z-8-(3z)=6z-5-12 equation:


Simplifying
5z + -8 + -1(3z) = 6z + -5 + -12

Remove parenthesis around (3z)
5z + -8 + -1 * 3z = 6z + -5 + -12

Multiply -1 * 3
5z + -8 + -3z = 6z + -5 + -12

Reorder the terms:
-8 + 5z + -3z = 6z + -5 + -12

Combine like terms: 5z + -3z = 2z
-8 + 2z = 6z + -5 + -12

Reorder the terms:
-8 + 2z = -5 + -12 + 6z

Combine like terms: -5 + -12 = -17
-8 + 2z = -17 + 6z

Solving
-8 + 2z = -17 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-8 + 2z + -6z = -17 + 6z + -6z

Combine like terms: 2z + -6z = -4z
-8 + -4z = -17 + 6z + -6z

Combine like terms: 6z + -6z = 0
-8 + -4z = -17 + 0
-8 + -4z = -17

Add '8' to each side of the equation.
-8 + 8 + -4z = -17 + 8

Combine like terms: -8 + 8 = 0
0 + -4z = -17 + 8
-4z = -17 + 8

Combine like terms: -17 + 8 = -9
-4z = -9

Divide each side by '-4'.
z = 2.25

Simplifying
z = 2.25

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