3z+8=6z+7

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Solution for 3z+8=6z+7 equation:


Simplifying
3z + 8 = 6z + 7

Reorder the terms:
8 + 3z = 6z + 7

Reorder the terms:
8 + 3z = 7 + 6z

Solving
8 + 3z = 7 + 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 + 3z + -6z = 7 + 6z + -6z

Combine like terms: 3z + -6z = -3z
8 + -3z = 7 + 6z + -6z

Combine like terms: 6z + -6z = 0
8 + -3z = 7 + 0
8 + -3z = 7

Add '-8' to each side of the equation.
8 + -8 + -3z = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -3z = 7 + -8
-3z = 7 + -8

Combine like terms: 7 + -8 = -1
-3z = -1

Divide each side by '-3'.
z = 0.3333333333

Simplifying
z = 0.3333333333

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