6(z+4)=9+7z

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Solution for 6(z+4)=9+7z equation:


Simplifying
6(z + 4) = 9 + 7z

Reorder the terms:
6(4 + z) = 9 + 7z
(4 * 6 + z * 6) = 9 + 7z
(24 + 6z) = 9 + 7z

Solving
24 + 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.
24 + 6z + -7z = 9 + 7z + -7z

Combine like terms: 6z + -7z = -1z
24 + -1z = 9 + 7z + -7z

Combine like terms: 7z + -7z = 0
24 + -1z = 9 + 0
24 + -1z = 9

Add '-24' to each side of the equation.
24 + -24 + -1z = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -1z = 9 + -24
-1z = 9 + -24

Combine like terms: 9 + -24 = -15
-1z = -15

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

Simplifying
z = 15

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