8(z+6)=7+9z

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Solution for 8(z+6)=7+9z equation: 


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

Reorder the terms:
8(6 + z) = 7 + 9z
(6 * 8 + z * 8) = 7 + 9z
(48 + 8z) = 7 + 9z

Solving
48 + 8z = 7 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
48 + 8z + -9z = 7 + 9z + -9z

Combine like terms: 8z + -9z = -1z
48 + -1z = 7 + 9z + -9z

Combine like terms: 9z + -9z = 0
48 + -1z = 7 + 0
48 + -1z = 7

Add '-48' to each side of the equation.
48 + -48 + -1z = 7 + -48

Combine like terms: 48 + -48 = 0
0 + -1z = 7 + -48
-1z = 7 + -48

Combine like terms: 7 + -48 = -41
-1z = -41

Divide each side by '-1'.
z = 41

Simplifying
z = 41

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