6(z-6)=7z-7

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Solution for 6(z-6)=7z-7 equation:


Simplifying
6(z + -6) = 7z + -7

Reorder the terms:
6(-6 + z) = 7z + -7
(-6 * 6 + z * 6) = 7z + -7
(-36 + 6z) = 7z + -7

Reorder the terms:
-36 + 6z = -7 + 7z

Solving
-36 + 6z = -7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-36 + 6z + -7z = -7 + 7z + -7z

Combine like terms: 6z + -7z = -1z
-36 + -1z = -7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-36 + -1z = -7 + 0
-36 + -1z = -7

Add '36' to each side of the equation.
-36 + 36 + -1z = -7 + 36

Combine like terms: -36 + 36 = 0
0 + -1z = -7 + 36
-1z = -7 + 36

Combine like terms: -7 + 36 = 29
-1z = 29

Divide each side by '-1'.
z = -29

Simplifying
z = -29

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