5(z+6)-(9-8z)=12z

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Solution for 5(z+6)-(9-8z)=12z equation:


Simplifying
5(z + 6) + -1(9 + -8z) = 12z

Reorder the terms:
5(6 + z) + -1(9 + -8z) = 12z
(6 * 5 + z * 5) + -1(9 + -8z) = 12z
(30 + 5z) + -1(9 + -8z) = 12z
30 + 5z + (9 * -1 + -8z * -1) = 12z
30 + 5z + (-9 + 8z) = 12z

Reorder the terms:
30 + -9 + 5z + 8z = 12z

Combine like terms: 30 + -9 = 21
21 + 5z + 8z = 12z

Combine like terms: 5z + 8z = 13z
21 + 13z = 12z

Solving
21 + 13z = 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
21 + 13z + -12z = 12z + -12z

Combine like terms: 13z + -12z = 1z
21 + 1z = 12z + -12z

Combine like terms: 12z + -12z = 0
21 + 1z = 0

Add '-21' to each side of the equation.
21 + -21 + 1z = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 1z = 0 + -21
1z = 0 + -21

Combine like terms: 0 + -21 = -21
1z = -21

Divide each side by '1'.
z = -21

Simplifying
z = -21

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