6(z+1)=7z-9

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Solution for 6(z+1)=7z-9 equation:


Simplifying
6(z + 1) = 7z + -9

Reorder the terms:
6(1 + z) = 7z + -9
(1 * 6 + z * 6) = 7z + -9
(6 + 6z) = 7z + -9

Reorder the terms:
6 + 6z = -9 + 7z

Solving
6 + 6z = -9 + 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.
6 + 6z + -7z = -9 + 7z + -7z

Combine like terms: 6z + -7z = -1z
6 + -1z = -9 + 7z + -7z

Combine like terms: 7z + -7z = 0
6 + -1z = -9 + 0
6 + -1z = -9

Add '-6' to each side of the equation.
6 + -6 + -1z = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -1z = -9 + -6
-1z = -9 + -6

Combine like terms: -9 + -6 = -15
-1z = -15

Divide each side by '-1'.
z = 15

Simplifying
z = 15

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