6+8z-3=7z+13-4z

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Solution for 6+8z-3=7z+13-4z equation:


Simplifying
6 + 8z + -3 = 7z + 13 + -4z

Reorder the terms:
6 + -3 + 8z = 7z + 13 + -4z

Combine like terms: 6 + -3 = 3
3 + 8z = 7z + 13 + -4z

Reorder the terms:
3 + 8z = 13 + 7z + -4z

Combine like terms: 7z + -4z = 3z
3 + 8z = 13 + 3z

Solving
3 + 8z = 13 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
3 + 8z + -3z = 13 + 3z + -3z

Combine like terms: 8z + -3z = 5z
3 + 5z = 13 + 3z + -3z

Combine like terms: 3z + -3z = 0
3 + 5z = 13 + 0
3 + 5z = 13

Add '-3' to each side of the equation.
3 + -3 + 5z = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 5z = 13 + -3
5z = 13 + -3

Combine like terms: 13 + -3 = 10
5z = 10

Divide each side by '5'.
z = 2

Simplifying
z = 2

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