6z+3=8z-5

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Solution for 6z+3=8z-5 equation:


Simplifying
6z + 3 = 8z + -5

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

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

Solving
3 + 6z = -5 + 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.
3 + 6z + -8z = -5 + 8z + -8z

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

Combine like terms: 8z + -8z = 0
3 + -2z = -5 + 0
3 + -2z = -5

Add '-3' to each side of the equation.
3 + -3 + -2z = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -2z = -5 + -3
-2z = -5 + -3

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

Divide each side by '-2'.
z = 4

Simplifying
z = 4

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