6(z-2)=7z-1

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Solution for 6(z-2)=7z-1 equation:


Simplifying
6(z + -2) = 7z + -1

Reorder the terms:
6(-2 + z) = 7z + -1
(-2 * 6 + z * 6) = 7z + -1
(-12 + 6z) = 7z + -1

Reorder the terms:
-12 + 6z = -1 + 7z

Solving
-12 + 6z = -1 + 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.
-12 + 6z + -7z = -1 + 7z + -7z

Combine like terms: 6z + -7z = -1z
-12 + -1z = -1 + 7z + -7z

Combine like terms: 7z + -7z = 0
-12 + -1z = -1 + 0
-12 + -1z = -1

Add '12' to each side of the equation.
-12 + 12 + -1z = -1 + 12

Combine like terms: -12 + 12 = 0
0 + -1z = -1 + 12
-1z = -1 + 12

Combine like terms: -1 + 12 = 11
-1z = 11

Divide each side by '-1'.
z = -11

Simplifying
z = -11

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