7z=6(z+1)

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Solution for 7z=6(z+1) equation:


Simplifying
7z = 6(z + 1)

Reorder the terms:
7z = 6(1 + z)
7z = (1 * 6 + z * 6)
7z = (6 + 6z)

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

Combine like terms: 7z + -6z = 1z
1z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
1z = 6 + 0
1z = 6

Divide each side by '1'.
z = 6

Simplifying
z = 6

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