6z+7=8z-3

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


Simplifying
6z + 7 = 8z + -3

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

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

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

Combine like terms: 6z + -8z = -2z
7 + -2z = -3 + 8z + -8z

Combine like terms: 8z + -8z = 0
7 + -2z = -3 + 0
7 + -2z = -3

Add '-7' to each side of the equation.
7 + -7 + -2z = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -2z = -3 + -7
-2z = -3 + -7

Combine like terms: -3 + -7 = -10
-2z = -10

Divide each side by '-2'.
z = 5

Simplifying
z = 5

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