6(z-7)=7z-4

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Solution for 6(z-7)=7z-4 equation:


Simplifying
6(z + -7) = 7z + -4

Reorder the terms:
6(-7 + z) = 7z + -4
(-7 * 6 + z * 6) = 7z + -4
(-42 + 6z) = 7z + -4

Reorder the terms:
-42 + 6z = -4 + 7z

Solving
-42 + 6z = -4 + 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.
-42 + 6z + -7z = -4 + 7z + -7z

Combine like terms: 6z + -7z = -1z
-42 + -1z = -4 + 7z + -7z

Combine like terms: 7z + -7z = 0
-42 + -1z = -4 + 0
-42 + -1z = -4

Add '42' to each side of the equation.
-42 + 42 + -1z = -4 + 42

Combine like terms: -42 + 42 = 0
0 + -1z = -4 + 42
-1z = -4 + 42

Combine like terms: -4 + 42 = 38
-1z = 38

Divide each side by '-1'.
z = -38

Simplifying
z = -38

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